Bibliography
- [1]
- N. ABDUL-HALIM & W.A. AL-SALAM : A
characterization of the Laguerre polynomials. Rendiconti del Seminario
Matematico della Università di Padova 34, 1964, 176-179.
- [2]
- M. ABRAMOWITZ & I.A. STEGUN (EDS.) :
Handbook of mathematical functions (with formulas, graphs, and mathematical
tables). Dover Publications, New York, 1970.
- [3]
- S. AHMED, A. LAFORGIA & M.E. MULDOON :
On the spacing of the zeros of some classical orthogonal polynomials.
Journal of the London Mathematical Society (2) 25, 1982, 246-252.
- [4]
- S. AHMED, M.E. MULDOON & R. SPIGLER :
Inequalities and numerical bounds for zeros of ultraspherical
polynomials. SIAM Journal on Mathematical Analysis 17, 1986,
1000-1007.
- [5]
- K. ALLADI & M.L. ROBINSON : Legendre
polynomials and irrationality. Journal für die Reine und Angewandte
Mathematik 318, 1980, 137-155.
- [6]
- WM.R. ALLAWAY : The representation of
orthogonal polynomials in terms of a differential operator. Journal of
Mathematical Analysis and Applications 56, 1976, 288-293.
- [7]
- WM.R. ALLAWAY : Some properties of the
q-Hermite polynomials. Canadian Journal of Mathematics 32, 1980,
686-694.
- [8]
- WM.R. ALLAWAY : Convolution orthogonality and
the Jacobi polynomials. Canadian Mathematical Bulletin 32, 1989,
298-308.
- [9]
- WM.R. ALLAWAY : Convolution shift,
c-orthogonality preserving maps, and the Laguerre polynomials. Journal of
Mathematical Analysis and Applications 157, 1991, 284-299.
- [10]
- N.A. AL-SALAM : Orthogonal polynomials of
hypergeometric type. Duke Mathematical Journal 33, 1966, 109-121.
- [11]
- N.A. AL-SALAM : On some q-operators with
applications. Indagationes Mathematicae 51, 1989, 1-13.
- [12]
- W.A. AL-SALAM : Operational representations
for the Laguerre and other polynomials. Duke Mathematical Journal 31,
1964, 127-142.
- [13]
- W.A. AL-SALAM : Characterization theorems for
orthogonal polynomials. In : Orthogonal Polynomials : Theory and Practice
(ed. P. Nevai), Kluwer Academic Publishers, Dordrecht, 1990, 1-24.
- [14]
- W.A. AL-SALAM : A characterization of the
Rogers q-Hermite polynomials. International Journal of Mathematics and
Mathematical Sciences 18, 1995, 641-647.
- [15]
- W. AL-SALAM, WM.R. ALLAWAY & R. ASKEY :
A characterization of the continuous q-ultraspherical polynomials.
Canadian Mathematical Bulletin 27, 1984, 329-336.
- [16]
- W. AL-SALAM, W.R. ALLAWAY & R. ASKEY :
Sieved ultraspherical polynomials. Transactions of the American Mathematical
Society 284, 1984, 39-55.
- [17]
- W.A. AL-SALAM & L. CARLITZ : Some
orthogonal q-polynomials. Mathematische Nachrichten 30, 1965, 47-61.
- [18]
- W.A. AL-SALAM & T.S. CHIHARA :
Another characterization of the classical orthogonal polynomials. SIAM
Journal of Mathematical Analysis 3, 1972, 65-70.
- [19]
- W.A. AL-SALAM & T.S. CHIHARA :
Convolutions of orthonormal polynomials. SIAM Journal of Mathematical
Analysis 7, 1976, 16-28.
- [20]
- W.A. AL-SALAM & T.S. CHIHARA :
q-Pollaczek polynomials and a conjecture of Andrews and Askey. SIAM
Journal of Mathematical Analysis 18, 1987, 228-242.
- [21]
- W.A. AL-SALAM & M.E.H. ISMAIL :
Polynomials orthogonal with respect to discrete convolution. Journal of
Mathematical Analysis and Applications 55, 1976, 125-139.
- [22]
- W.A. AL-SALAM & M.E.H. ISMAIL :
Reproducing kernels for q-Jacobi polynomials. Proceedings of the American
Mathematical Society 67, 1977, 105-110.
- [23]
- W.A. AL-SALAM & M.E.H. ISMAIL :
Orthogonal polynomials associated with the Rogers-Ramanujan continued
fraction. Pacific Journal of Mathematics 104, 1983, 269-283.
- [24]
- W.A. AL-SALAM & M.E.H. ISMAIL :
q-Beta integrals and the q-Hermite polynomials. Pacific Journal of
Mathematics 135, 1988, 209-221.
- [25]
- W.A. AL-SALAM & A. VERMA : On
an orthogonal polynomial set. Indagationes Mathematicae 44, 1982,
335-340.
- [26]
- W.A. AL-SALAM & A. VERMA :
Some remarks on q-beta integral. Proceedings of the American Mathematical
Society 85, 1982, 360-362.
- [27]
- W.A. AL-SALAM & A. VERMA : On
the Geronimus polynomial sets. In : Orthogonal Polynomials and Their
Applications (eds. M. Alfaro et al.). Lecture Notes in Mathematics
1329, Springer-Verlag, New York, 1988, 193-202.
- [28]
- R. ÁLVAREZ-NODARSE & A. RONVEAUX :
Recurrence relations for connection coefficients between Q-orthogonal
polynomials of discrete variables in the non-uniform lattice .
Journal of Physics A. Mathematical and General 29, 1996, 7165-7175.
- [29]
- R. ÁLVAREZ-NODARSE & YU.F. SMIRNOV : The
dual Hahn q-polynomials in the lattice and the
q-algebras and . Journal of Physics A. Mathematical
and General 29, 1996, 1435-1451.
- [30]
- G.E. ANDREWS & R. ASKEY :
Enumeration of partitions : the role of Eulerian series and q-orthogonal
polynomials. In : Higher Combinatorics (ed. M. Aigner), Reidel Publicatons,
Boston, 1977, 3-26.
- [31]
- G.E. ANDREWS & R. ASKEY : Classical
orthogonal polynomials. In : Polynômes Orthogonaux et Applications (eds. C.
Brezinski et al.). Lecture Notes in Mathematics 1171, 1985,
Springer-Verlag, New York, 36-62.
- [32]
- I. AREA, E. GODOY, A. RONVEAUX & A. ZARZO :
Minimal recurrence relations for connection coefficients between classical
orthogonal polynomials : discrete case. Journal of Computational and
Applied Mathematics 87, 1997, 321-337.
- [33]
- R. ASKEY : Product of ultraspherical
polynomials. The American Mathematical Monthly 74, 1967, 1221-1222.
- [34]
- R. ASKEY : Dual equations and classical
orthogonal polynomials. Journal of Mathematical Analysis and Applications
24, 1968, 677-685.
- [35]
- R. ASKEY : An inequality for the classical
polynomials. Indagationes Mathematicae 32, 1970, 22-25.
- [36]
- R. ASKEY : Positive Jacobi polynomial sums.
The Tôhoku Mathematical Journal (2) 24, 1972, 109-119.
- [37]
- R. ASKEY : Summability of Jacobi series.
Transactions of the American Mathematical Society 179, 1973, 71-84.
- [38]
- R. ASKEY : Jacobi polynomials I. New
proofs of Koornwinder's Laplace type integral representation and Bateman's
bilinear sum. SIAM Journal on Mathematical Analysis 5, 1974, 119-124.
- [39]
- R. ASKEY : Orthogonal polynomials and special
functions. CBMS Regional Conference Series, Volume 21. Society for
Industrial and Applied Mathematics, Philadelphia, 1975.
- [40]
- R. ASKEY : Jacobi's generating function for
Jacobi polynomials. Proceedings of the American Mathematical Society
71, 1978, 243-246.
- [41]
- R. ASKEY : Continuous Hahn polynomials.
Journal of Physics A. Mathematical and General 18, 1985, L1017-L1019.
- [42]
- R. ASKEY : Limits of some q-Laguerre
polynomials. Journal of Approximation Theory 46, 1986, 213-216.
- [43]
- R. ASKEY : Beta integrals and the associated
orthogonal polynomials. In : Number Theory (ed. K. Alladi). Lecture Notes
in Mathematics 1395, Springer-Verlag, New York, 1989, 84-121.
- [44]
- R. ASKEY : Continuous q-Hermite polynomials
when q>1. In : q-Series and Partitions (ed. D. Stanton). The IMA
Volumes in Mathematics and Its Applications 18, Springer-Verlag, New
York, 1989, 151-158.
- [45]
- R. ASKEY : Divided difference operators and
classical orthogonal polynomials. The Rocky Mountain Journal of Mathematics
19, 1989, 33-37.
- [46]
- R. ASKEY & J. FITCH : Integral
representations for Jacobi polynomials and some applications. Journal of
Mathematical Analysis and Applications 26, 1969, 411-437.
- [47]
- R. ASKEY & G. GASPER : Jacobi
polynomial expansions of Jacobi polynomials with non-negative coefficients.
Proceedings of the Cambridge Philosophical Society 70, 1971, 243-255.
- [48]
- R. ASKEY & G. GASPER :
Linearization of the product of Jacobi polynomials III. Canadian
Journal of Mathematics 23, 1971, 332-338.
- [49]
- R. ASKEY & G. GASPER : Positive
Jacobi polynomial sums II. American Journal of Mathematics 98, 1976,
709-737.
- [50]
- R. ASKEY & G. GASPER : Convolution
structures for Laguerre polynomials. Journal d'Analyse Mathématique
31, 1977, 48-68.
- [51]
- R. ASKEY, G. GASPER & L.A. HARRIS :
An inequality for Tchebycheff polynomials and extensions. Journal of
Approximation Theory 14, 1975, 1-11.
- [52]
- R. ASKEY & M.E.H. ISMAIL :
Permutation problems and special functions. Canadian Journal of Mathematics
28, 1976, 853-874.
- [53]
- R. ASKEY & M.E.H. ISMAIL :
The Rogers q-ultraspherical polynomials. In : Approximation Theory
III, Academic Press, New York, 1980, 175-182.
- [54]
- R. ASKEY & M.E.H. ISMAIL : A
generalization of ultraspherical polynomials. In : Studies in Pure
Mathematics (ed. P. Erdös), Birkhäuser, Basel, 1983, 55-78.
- [55]
- R. ASKEY & M.E.H. ISMAIL :
Recurrence relations, continued fractions and orthogonal polynomials.
Memoirs of the American Mathematical Society 300, Providence,
Rhode Island, 1984.
- [56]
- R. ASKEY, M.E.H. ISMAIL & T. KOORNWINDER : Weighted permutation problems and Laguerre polynomials.
Journal of Combinatorial Theory A 25, 1978, 277-287.
- [57]
- R. ASKEY, T.H. KOORNWINDER & M. RAHMAN : An integral of products of ultraspherical functions and a
q-extension. Journal of the London Mathematical Society (2) 33, 1986,
133-148.
- [58]
- R.A. ASKEY, M. RAHMAN & S.K. SUSLOV : On a
general q-Fourier transformation with nonsymmetric kernels. Journal of
Computational and Applied Mathematics 68, 1996, 25-55.
- [59]
- R. ASKEY & S.K. SUSLOV : The q-harmonic
oscillator and an analogue of the Charlier polynomials. Journal of Physics
A. Mathematical and General 26, 1993, L693-L698.
- [60]
- R. ASKEY & S.K. SUSLOV : The q-harmonic
oscillator and the Al-Salam and Carlitz polynomials. Letters in
Mathematical Physics 29, 1993, 123-132.
- [61]
- R. ASKEY & S. WAINGER : A
convolution structure for Jacobi series. American Journal of Mathematics
91, 1969, 463-485.
- [62]
- R. ASKEY & J. WILSON : A set of
orthogonal polynomials that generalize the Racah coefficients or 6-j symbols.
SIAM Journal on Mathematical Analysis 10, 1979, 1008-1016.
- [63]
- R. ASKEY & J. WILSON : A set of hypergeometric orthogonal
polynomials. SIAM Journal on Mathematical Analysis 13, 1982, 651-655.
- [64]
- R. ASKEY & J.A. WILSON : Some basic hypergeometric orthogonal
polynomials that generalize Jacobi polynomials. Memoirs of the American
Mathematical Society 319, Providence, Rhode Island, 1985.
- [65]
- N.M. ATAKISHIYEV : On the Fourier-Gauss
transforms of some q-exponential and q-trigonometric functions. Journal
of Physics A. Mathematical and General 29, 1996, 7177-7181.
- [66]
- N.M. ATAKISHIYEV & P. FEINSILVER : On the
coherent states for the q-Hermite polynomials and related Fourier
transformation. Journal of Physics A. Mathematical and General 29,
1996, 1659-1664.
- [67]
- N.M. ATAKISHIYEV, M. RAHMAN & S.K. SUSLOV : On
classical orthogonal polynomials. Constructive Approximation 11,
1995, 181-226.
- [68]
- N.M. ATAKISHIYEV & S.K. SUSLOV : The Hahn
and Meixner polynomials of an imaginary argument and some of their applications.
Journal of Physics A. Mathematical and General 18, 1985, 1583-1596.
- [69]
- N.M. ATAKISHIYEV & S.K. SUSLOV :
Continuous orthogonality property for some classical polynomials of a
discrete variable. Revista Mexicana de Fisica 34, 1988,
541-563.
- [70]
- N.M. ATAKISHIYEV & S.K. SUSLOV :
On the Askey-Wilson polynomials. Constructive Approximation 8, 1992,
363-369.
- [71]
- M.K. ATAKISHIYEVA & N.M. ATAKISHIYEV :
q-Laguerre and Wall polynomials are related by the Fourier-Gauss
transform. Journal of Physics A. Mathematical and General 30, 1997,
L429-L432.
- [72]
- M.K. ATAKISHIYEVA & N.M. ATAKISHIYEV :
Fourier-Gauss transforms of the continuous big q-Hermite polynomials.
Journal of Physics A. Mathematical and General 30, 1997, L559-L565.
- [73]
- M.K. ATAKISHIYEVA & N.M. ATAKISHIYEV :
Fourier-Gauss transforms of the Al-Salam-Chihara polynomials. Journal of
Physics A. Mathematical and General 30, 1997, L655-L661.
- [74]
- R. AZOR, J. GILLIS & J.D. VICTOR :
Combinatorial applications of Hermite polynomials. SIAM Journal on
Mathematical Analysis 13, 1982, 879-890.
- [75]
- W.N. BAILEY : The generating function of Jacobi
polynomials. Journal of the London Mathematical Society 13, 1938,
8-12.
- [76]
- E. BADERTSCHER & T.H. KOORNWINDER :
Continuous Hahn polynomials of differential operator argument and
analysis on Riemannian symmetric spaces of constant curvature. Canadian
Journal of Mathematics 44, 1992, 750-773.
- [77]
- W.W. BARRETT : An alternative approach to
Laguerre polynomial identities in combinatorics. Canadian Journal of
Mathematics 31, 1979, 312-319.
- [78]
- H. BAVINCK : On the zeros of certain linear
combinations of Chebyshev polynomials. Journal of Computational and Applied
Mathematics 65, 1995, 19-26.
- [79]
- H. BAVINCK : A new result for Laguerre
polynomials. Journal of Physics A. Mathematical and General 29, 1996,
L277-L279.
- [80]
- H. BAVINCK & H. VAN HAERINGEN : Difference
equations for generalized Meixner polynomials. Journal of Mathematical
Analysis and Applications 184, 1994, 453-463.
- [81]
- H. BAVINCK & R. KOEKOEK : On a difference
equation for generalizations of Charlier polynomials. Journal of
Approximation Theory 81, 1995, 195-206.
- [82]
- C. BERG : Integrals involving Gegenbauer and
Hermite polynomials on the imaginary axis. Aequationes Mathematicae
40, 1990, 83-88.
- [83]
- C. BERG & M.E.H. ISMAIL : q-Hermite polynomials
and classical orthogonal polynomials. Canadian Journal of Mathematics
48, 1996, 43-63.
- [84]
- C. BERG & G. VALENT : Nevanlinna extremal
measures for some orthogonal polynomials related to birth and death
processes. Journal of Computational and Applied Mathematics 57, 1995,
29-43.
- [85]
- B.R. BHONSLE : On a series of Rainville
involving Legendre polynomials. Proceedings of the American Mathematical
Society 8, 1957, 10-14.
- [86]
- G.G. BILODEAU : Gegenbauer polynomials and
fractional derivatives. The American Mathematical Monthly 71, 1964,
1026-1028.
- [87]
- G.G. BILODEAU : On the summability of series
of Hermite polynomials. Journal of Mathematical Analysis and Applications
8, 1964, 406-422.
- [88]
- B. BOJANOV & G. NIKOLOV : Duffin and Schaeffer
type inequality for ultraspherical polynomials. Journal of Approximation
Theory 84, 1996, 129-138.
- [89]
- F. BRAFMAN : Generating functions of Jacobi
and related polynomials. Proceedings of the American Mathematical Society
2, 1951, 942-949.
- [90]
- F. BRAFMAN : An ultraspherical generating
function. Pacific Journal of Mathematics 7, 1957, 1319-1323.
- [91]
- F. BRAFMAN : Some generating functions for
Laguerre and Hermite polynomials. Canadian Journal of Mathematics 9,
1957, 180-187.
- [92]
- W.C. BRENKE : On generating functions of
polynomial systems. The American Mathematical Monthly 52, 1945,
297-301.
- [93]
- D.M. BRESSOUD : A simple proof of Mehler's
formula for q-Hermite polynomials. Indiana University Mathematics Journal
29, 1980, 577-580.
- [94]
- D.M. BRESSOUD : Linearization and related formulas
for q-ultraspherical polynomials. SIAM Journal on Mathematical Analysis
12, 1981, 161-168.
- [95]
- J.W. BROWN : New generating functions for
classical polynomials. Proceedings of the American Mathematical Society
21, 1969, 263-268.
- [96]
- B.M. BROWN, W.D. EVANS & M.E.H. ISMAIL : The
Askey-Wilson polynomials and q-Sturm-Liouville problems. Mathematical
Proceedings of the Cambridge Philosophical Society 119, 1996, 1-16.
- [97]
- B.M. BROWN & M.E.H. ISMAIL : A right inverse of
the Askey-Wilson operator. Proceedings of the American Mathematical Society
123, 1995, 2071-2079.
- [98]
- J. BUSTOZ & M.E.H. ISMAIL : The
associated ultraspherical polynomials and their q-analogues. Canadian
Journal of Mathematics 34, 1982, 718-736.
- [99]
- J. BUSTOZ & M.E.H. ISMAIL :
Turán inequalities for ultraspherical and continuous q-ultraspherical
polynomials. SIAM Journal on Mathematical Analysis 14, 1983, 807-818.
- [100]
- J. BUSTOZ & M.E.H. ISMAIL :
A positive trigonometric sum. SIAM Journal on Mathematical Analysis
20, 1989, 176-181.
- [101]
- J. BUSTOZ & M.E.H. ISMAIL : Turán
inequalities for symmetric orthogonal polynomials. International Journal of
Mathematics and Mathematical Sciences 20, 1997, 1-7.
- [102]
- J. BUSTOZ & N. SAVAGE :
Inequalities for ultraspherical and Laguerre polynomials. SIAM Journal on
Mathematical Analysis 10, 1979, 902-912.
- [103]
- J. BUSTOZ & N. SAVAGE :
Inequalities for ultraspherical and Laguerre polynomials II. SIAM
Journal on Mathematical Analysis 11, 1980, 876-884.
- [104]
- C. CAMPIGOTTO, YU.F. SMIRNOV & S.G. ENIKEEV :
q-Analogue of the Krawtchouk and Meixner orthogonal polynomials.
Journal of Computational and Applied Mathematics 57, 1995, 87-97.
- [105]
- L. CARLITZ : Some arithmetic properties of
the Legendre polynomials. Proceedings of the Cambridge Philosophical
Society 53, 1957, 265-268.
- [106]
- L. CARLITZ : A note on the Laguerre
polynomials. The Michigan Mathematical Journal 7, 1960, 219-223.
- [107]
- L. CARLITZ : On the product of two Laguerre
polynomials. Journal of the London Mathematical Society 36, 1961,
399-402.
- [108]
- L. CARLITZ : Some generating functions of
Weisner. Duke Mathematical Journal 28, 1961, 523-529.
- [109]
- L. CARLITZ : A characterization of the Laguerre
polynomials. Monatshefte für Mathematik 66, 1962, 389-392.
- [110]
- L. CARLITZ : The generating function for the
Jacobi polynomial. Rendiconti del Seminario Matematico della Università
di Padova 38, 1967, 86-88.
- [111]
- L. CARLITZ : Some generating functions for
Laguerre polynomials. Duke Mathematical Journal 35, 1968, 825-827.
- [112]
- L. CARLITZ & H.M. SRIVASTAVA :
Some new generating functions for the Hermite polynomials. Journal of
Mathematical Analysis and Applications 149, 1990, 513-520.
- [113]
- J.A. CHARRIS & M.E.H. ISMAIL :
On sieved orthogonal polynomials. V : sieved Pollaczek
polynomials. SIAM Journal on Mathematical Analysis 18, 1987, 1177-1218.
- [114]
- L.-C. CHEN & M.E.H. ISMAIL : On
asymptotics of Jacobi polynomials. SIAM Journal on Mathematical Analysis
22, 1991, 1442-1449.
- [115]
- Y. CHEN & M.E.H. ISMAIL : Asymptotics of the
extreme zeros of the Meixner-Pollaczek polynomials. Journal of
Computational and Applied Mathematics 82, 1997, 59-78.
- [116]
- Y. CHEN, M.E.H. ISMAIL & K.A. MUTTALIB :
Asymptotics of basic Bessel functions and q-Laguerre polynomials. Journal
of Computational and Applied Mathematics 54, 1994, 263-272.
- [117]
- L. CHIHARA : On the zeros of the Askey-Wilson
polynomials, with applications to coding theory. SIAM Journal on
Mathematical Analysis 18, 1987, 191-207.
- [118]
- L.M. CHIHARA : Askey-Wilson polynomials,
kernel polynomials and association schemes. Graphs and Combinatorics
9, 1993, 213-223.
- [119]
- L. CHIHARA & D. STANTON : Zeros of
generalized Krawtchouk polynomials. Journal of Approximation Theory
60, 1990, 43-57.
- [120]
- T.S. CHIHARA : On indeterminate Hamburger
moment problems. Pacific Journal of Mathematics 27, 1968, 475-484.
- [121]
- T.S. CHIHARA : Orthogonal polynomials with
Brenke type generating functions. Duke Mathematical Journal 35, 1968,
505-517.
- [122]
- T.S. CHIHARA : A characterization and a class
of distribution functions for the Stieltjes-Wigert polynomials. Canadian
Mathematical Bulletin 13, 1970, 529-532.
- [123]
- T.S. CHIHARA : An introduction to orthogonal polynomials.
Gordon and Breach, New York, 1978.
- [124]
- T.S. CHIHARA : On generalized Stieltjes-Wigert
and related orthogonal polynomials. Journal of Computational and Applied
Mathematics 5, 1979, 291-297.
- [125]
- T.S. CHIHARA & M.E.H. ISMAIL :
Extremal measures for a system of orthogonal polynomials. Constructive
Approximation 9, 1993, 111-119.
- [126]
- Y. CHOW, L. GATTESCHI & R. WONG : A
Bernstein-type inequality for the Jacobi polynomial. Proceedings of the
American Mathematical Society 121, 1994, 703-709.
- [127]
- Z. CIESIELSKI : Explicit formula relating
the Jacobi, Hahn and Bernstein polynomials. SIAM Journal on Mathematical
Analysis 18, 1987, 1573-1575.
- [128]
- M.E. COHEN : Some classes of generating functions
for the Laguerre and Hermite polynomials. Mathematics of Computation
31, 1977, 511-518.
- [129]
- A.K. COMMON : Uniform inequalities for
ultraspherical polynomials and Bessel functions of fractional order.
Journal of Approximation Theory 49, 1987, 331-339.
- [130]
- R.D. COOPER, M.R. HOARE & M. RAHMAN :
Stochastic processes and special functions : On the probabilistic
origin of some positive kernels associated with classical orthogonal
polynomials. Journal of Mathematical Analysis and Applications 61,
1977, 262-291.
- [131]
- A.E. DANESE : Some identities and inequalities
involving ultraspherical polynomials. Duke Mathematical Journal 26,
1959, 349-359.
- [132]
- J.S. DEHESA : On a general system of orthogonal
q-polynomials. Journal of Computational and Applied Mathematics 5,
1979, 37-45.
- [133]
- P. DELSARTE : Association schemes and
t-designs in regular semilattices. Journal of Combinatorial Theory A
20, 1976, 230-243.
- [134]
- P. DELSARTE & J.M. GOETHALS :
Alternating bilinear forms over . Journal of Combinatorial Theory
A 19, 1975, 26-50.
- [135]
- H. DETTE : Extremal properties of ultraspherical
polynomials. Journal of Approximation Theory 76, 1994, 246-273.
- [136]
- H. DETTE : New bounds for Hahn and Krawtchouk
polynomials. SIAM Journal on Mathematical Analysis 26, 1995,
1647-1659.
- [137]
- H. DETTE & W.J. STUDDEN : On a new
characterization of the classical orthogonal polynomials. Journal of
Approximation Theory 71, 1992, 3-17.
- [138]
- H. DETTE & W.J. STUDDEN : Some new
asymptotic properties for the zeros of Jacobi, Laguerre, and Hermite
polynomials. Constructive Approximation 11, 1995, 227-238.
- [139]
- A. DIJKSMA & T.H. KOORNWINDER : Spherical
harmonics and the product of two Jacobi polynomials. Indagationes
Mathematicae 33, 1971, 191-196.
- [140]
- K. DILCHER & K.B. STOLARSKY : Zeros of the
Wronskian of Chebyshev and ultraspherical polynomials. The Rocky Mountain
Journal of Mathematics 23, 1993, 49-65.
- [141]
- D.K. DIMITROV : On a conjecture concerning
monotonicity of zeros of ultraspherical polynomials. Journal of
Approximation Theory 85, 1996, 88-97.
- [142]
- C.F. DUNKL : A Krawtchouk polynomial addition
theorem and wreath products of symmetric groups. Indiana University
Mathematics Journal 25, 1976, 335-358.
- [143]
- C.F. DUNKL : An addition theorem for Hahn
polynomials : the spherical functions. SIAM Journal on Mathematical
Analysis 9, 1978, 627-637.
- [144]
- C.F. DUNKL : An addition theorem for some
q-Hahn polynomials. Monatshefte für Mathematik 85, 1978, 5-37.
- [145]
- C.F. DUNKL : Orthogonal polynomials with
symmetry of order three. Canadian Journal of Mathematics 36, 1984,
685-717.
- [146]
- C.F. DUNKL & D.E. RAMIREZ :
Krawtchouk polynomials and the symmetrization of hypergroups. SIAM Journal
on Mathematical Analysis 5, 1974, 351-366.
- [147]
- A. ELBERT & A. LAFORGIA : A note to
the paper of Ahmed, Muldoon and Spigler. SIAM Journal on Mathematical
Analysis 17, 1986, 1008-1009.
- [148]
- A. ELBERT & A. LAFORGIA : Some
monotonicity properties of the zeros of ultraspherical polynomials. Acta
Mathematica Hungarica 48, 1986, 155-159.
- [149]
- A. ELBERT & A. LAFORGIA :
Monotonicity results on the zeros of generalized Laguerre polynomials.
Journal of Approximation Theory 51, 1987, 168-174.
- [150]
- A. ELBERT & A. LAFORGIA : New
properties of the zeros of a Jacobi polynomial in relation to their
centroid. SIAM Journal on Mathematical Analysis 18, 1987, 1563-1572.
- [151]
- A. ELBERT & A. LAFORGIA : Upper
bounds for the zeros of ultraspherical polynomials. Journal of
Approximation Theory 61, 1990, 88-97.
- [152]
- A. ELBERT & A. LAFORGIA : An inequality for
Legendre polynomials. Journal of Mathematical Physics 35 (3), 1994,
1348-1360.
- [153]
- A. ELBERT, A. LAFORGIA & L.G. RODONÒ : On
the zeros of Jacobi polynomials. Acta Mathematica Hungarica 64, 1994,
351-359.
- [154]
- A. ERDÉLYI ET AL. : Higher transcendental
functions. Volume II of the Bateman Manuscript Project. McGraw-Hill
Book Company, New York, 1953.
- [155]
- A. ERDÉLYI : Asymptotic forms for Laguerre
polynomials. Journal of the Indian Mathematical Society 24, 1960,
235-250.
- [156]
- H. EXTON : Basic Laguerre polynomials. Pure and
Applied Mathematika Sciences 5, 1977, 19-24.
- [157]
- H. EXTON : New generating functions for
Gegenbauer polynomials. Journal of Computational and Applied Mathematics
67, 1996, 191-193.
- [158]
- J. FALDEY & W. GAWRONSKI : On the limit
distributions of the zeros of Jonquière polynomials and generalized
classical orthogonal polynomials. Journal of Approximation Theory 81,
1995, 231-249.
- [159]
- P. FEINSILVER & R. SCHOTT : Operator
calculus approach to orthogonal polynomial expansions. Journal of
Computational and Applied Mathematics 66, 1996, 185-199.
- [160]
- I. FISCHER : A Rodrigues-type formula for the
q-Racah polynomials and some related results. Contemporary Mathematics
169, 1994, 253-259.
- [161]
- I. FISCHER : Discrete orthogonal polynomial
expansions of averaged functions. Journal of Mathematical Analysis and
Applications 194, 1995, 934-947.
- [162]
- R. FLOREANINI, J. LETOURNEUX & L. VINET :
An algebraic interpretation of the continuous big q-Hermite polynomials.
Journal of Mathematical Physics 36 (9), 1995, 5091-5097.
- [163]
- R. FLOREANINI, J. LETOURNEUX & L. VINET :
A q-deformed and continuous q-Jacobi polynomials. Journal of
Mathematical Physics 37 (8), 1996, 4135-4149.
- [164]
- R. FLOREANINI, J. LETOURNEUX & L. VINET :
Symmetry techniques for the Al-Salam-Chihara polynomials. Journal of Physics
A. Mathematical and General 30, 1997, 3107-3114.
- [165]
- R. FLOREANINI & L. VINET : A model for the
continuous q-ultraspherical polynomials. Journal of Mathematical Physics
36 (7), 1995, 3800-3813.
- [166]
- R. FLOREANINI & L. VINET : Quantum algebra
approach to q-Gegenbauer polynomials. Journal of Computational and
Applied Mathematics 57, 1995, 123-133.
- [167]
- P.G.A. FLORIS : A noncommutative discrete
hypergroup associated with q-disk polynomials. Journal of Computational
and Applied Mathematics 68, 1996, 69-78.
- [168]
- P.G.A. FLORIS : Addition formula for q-disk
polynomials. Compositio Mathematica 108, 1997, 123-149.
- [169]
- P.G.A. FLORIS & H.T. KOELINK : A
commuting q-analogue of the addition formula for disk polynomials.
Constructive Approximation 13, 1997, 511-535.
- [170]
- D. FOATA & J. LABELLE :
Modèles combinatoires pour les polynômes de Meixner. European
Journal of Combinatorics 4, 1983, 305-311.
- [171]
- D. FOATA & P. LEROUX :
Polynômes de Jacobi, interprétation combinatoire et fonction
génératrice. Proceedings of the American Mathematical Society
87, 1983, 47-53.
- [172]
- B. GABUTTI : Some characteristic property of
the Meixner polynomials. Journal of Mathematical Analysis and Applications
95, 1983, 265-277.
- [173]
- B. GABUTTI & M.L. MATHIS : A characterization
of the Meixner polynomials. Annals of Numerical Mathematics 2, 1995,
247-253.
- [174]
- G. GASPER : Nonnegative sums of cosine,
ultraspherical and Jacobi polynomials. Journal of Mathematical Analysis
and Applications 26, 1969, 60-68.
- [175]
- G. GASPER : Linearization of the product of
Jacobi polynomials I. Canadian Journal of Mathematics 22,
1970, 171-175.
- [176]
- G. GASPER : Linearization of the product of
Jacobi polynomials II. Canadian Journal of Mathematics 22,
1970, 582-593.
- [177]
- G. GASPER : On the extension of Turan's
inequality to Jacobi polynomials. Duke Mathematical Journal 38, 1971,
415-428.
- [178]
- G. GASPER : Positivity and the convolution
structure for Jacobi series. Annals of Mathematics 93, 1971, 112-118.
- [179]
- G. GASPER : An inequality of Turan type for
Jacobi polynomials. Proceedings of the American Mathematical Society
32, 1972, 435-439.
- [180]
- G. GASPER : Banach algebras for Jacobi series
and positivity of a kernel. Annals of Mathematics 95, 1972, 261-280.
- [181]
- G. GASPER : Nonnegativity of a discrete
Poisson kernel for the Hahn polynomials. Journal of Mathematical Analysis
and Applications 42, 1973, 438-451.
- [182]
- G. GASPER : On two conjectures of Askey
concerning normalized Hankel determinants for the classical polynomials.
SIAM Journal on Mathematical Analysis 4, 1973, 508-513.
- [183]
- G. GASPER : Projection formulas for orthogonal
polynomials of a discrete variable. Journal of Mathematical Analysis and
Applications 45, 1974, 176-198.
- [184]
- G. GASPER : Positive sums of the classical
orthogonal polynomials. SIAM Journal on Mathematical Analysis 8,
1977, 423-447.
- [185]
- G. GASPER : Orthogonality of certain functions
with respect to complex valued weights. Canadian Journal of Mathematics
33, 1981, 1261-1270.
- [186]
- G. GASPER : Rogers' linearization formula for
the continuous q-ultraspherical polynomials and quadratic transformation
formulas. SIAM Journal on Mathematical Analysis 16, 1985, 1061-1071.
- [187]
- G. GASPER : q-Extensions of Clausen's
formula and of the inequalities used by De Branges in his proof of the
Bieberbach, Robertson, and Milin conjectures. SIAM Journal on Mathematical
Analysis 20, 1989, 1019-1034.
- [188]
- G. GASPER & M. RAHMAN : Nonnegative
kernels in product formulas for q-Racah polynomials I. Journal
of Mathematical Analysis and Applications 95, 1983, 304-318.
- [189]
- G. GASPER & M. RAHMAN :
Positivity of the Poisson kernel for the continuous q-ultraspherical
polynomials. SIAM Journal on Mathematical Analysis 14, 1983, 409-420.
- [190]
- G. GASPER & M. RAHMAN : Product
formulas of Watson, Bailey and Bateman types and positivity of the Poisson
kernel for q-Racah polynomials. SIAM Journal on Mathematical Analysis
15, 1984, 768-789.
- [191]
- G. GASPER & M. RAHMAN : Positivity
of the Poisson kernel for the continuous q-Jacobi polynomials and some
quadratic transformation formulas for basic hypergeometric series. SIAM
Journal on Mathematical Analysis 17, 1986, 970-999.
- [192]
- G. GASPER & M. RAHMAN : A
nonterminating q-Clausen formula and some related product formulas. SIAM
Journal on Mathematical Analysis 20, 1989, 1270-1282.
- [193]
- G. GASPER & M. RAHMAN : Basic
Hypergeometric Series. Encyclopedia of Mathematics and Its Applications
35, Cambridge University Press, Cambridge, 1990.
- [194]
- L. GATTESCHI : New inequalities for the zeros
of Jacobi polynomials. SIAM Journal on Mathematical Analysis 18,
1987, 1549-1562.
- [195]
- W. GAWRONSKI : On the asymptotic distribution
of the zeros of Hermite, Laguerre, and Jonquière polynomials. Journal of
Approximation Theory 50, 1987, 214-231.
- [196]
- W. GAWRONSKI : Strong asymptotics and the
asymptotic zero distributions of Laguerre polynomials and
Hermite polynomials . Analysis 13, 1993, 29-67.
- [197]
- W. GAWRONSKI & B. SHAWYER : Strong
asymptotics and the limit distribution of the zeros of Jacobi polynomials
. In : Progress in Approximation Theory, Academic
Press, Boston, 1991, 379-404.
- [198]
- J. GILLIS : Integrals of products of Laguerre
polynomials. SIAM Journal on Mathematical Analysis 6, 1975, 318-339.
- [199]
- J. GILLIS, M.E.H. ISMAIL & T. OFFER : An asymptotic problem in derangement theory. SIAM Journal on
Mathematical Analysis 21, 1990, 262-269.
- [200]
- J. GILLIS, J. JEDWAB & D. ZEILBERGER :
A combinatorial interpretation of the integral of the products of
Legendre polynomials. SIAM Journal on Mathematical Analysis 19, 1988,
1455-1461.
- [201]
- E. GODOY, A. RONVEAUX, A. ZARZO & I. AREA :
Minimal recurrence relations for connection coefficients between classical
orthogonal polynomials : continuous case. Journal of Computational and
Applied Mathematics 84, 1997, 257-275.
- [202]
- I.S. GRADSHTEYN & I.M. RYZHIK : Table
of integrals, series, and products. Corrected and enlarged edition.
Academic Press, Orlando, Florida, 1980.
- [203]
- F.A. GRÜNBAUM & L. HAINE : The
q-version of a theorem of Bochner. Journal of Computational and Applied
Mathematics 68, 1996, 103-114.
- [204]
- F.A. GRÜNBAUM & L. HAINE : Some
functions that generalize the Askey-Wilson polynomials. Communications in
Mathematical Physics 184, 1997, 173-202.
- [205]
- D.P. GUPTA, M.E.H. ISMAIL & D.R. MASSON :
Associated continuous Hahn polynomials. Canadian Journal of
Mathematics 43, 1991, 1263-1280.
- [206]
- D.P. GUPTA, M.E.H. ISMAIL & D.R. MASSON :
Contiguous relations, basic hypergeometric functions, and orthogonal
polynomials II. Associated big q-Jacobi polynomials. Journal of
Mathematical Analysis and Applications 171, 1992, 477-497.
- [207]
- D.P. GUPTA, M.E.H. ISMAIL & D.R. MASSON :
Contiguous relations, basic hypergeometric functions, and orthogonal
polynomials III. Associated continuous dual q-Hahn polynomials.
Journal of Computational and Applied Mathematics 68, 1996, 115-149.
- [208]
- W. HAHN : Über Orthogonalpolynome, die
q-Differenzengleichungen genügen. Mathematische Nachrichten 2,
1949, 4-34.
- [209]
- M. HAJMIRZAAHMAD : Jacobi polynomial
expansions. Journal of Mathematical Analysis and Applications 181,
1994, 35-61.
- [210]
- M. HAJMIRZAAHMAD : Laguerre polynomial
expansions. Journal of Computational and Applied Mathematics 59,
1995, 25-37.
- [211]
- T. HARTMANN & E.P. STEPHAN : Rates of
convergence for collocation with Jacobi polynomials for the airfoil
equation. Journal of Computational and Applied Mathematics 51, 1994,
179-191.
- [212]
- M.R. HOARE & M. RAHMAN : Cumulative
Bernoulli trials and Krawtchouk processes. Stochastic Processes and their
Applications 16, 1984, 113-139.
- [213]
- R. HORTON : Jacobi polynomials IV. A
family of variation diminishing kernels. SIAM Journal on Mathematical
Analysis 6, 1975, 544-550.
- [214]
- M.E.H. ISMAIL : On obtaining generating
functions of Boas and Buck type for orthogonal polynomials. SIAM Journal on
Mathematical Analysis 5, 1974, 202-208.
- [215]
- M.E.H. ISMAIL : Connection relations and
bilinear formulas for the classical orthogonal polynomials. Journal of
Mathematical Analysis and Applications 57, 1977, 487-496.
- [216]
- M.E.H. ISMAIL : A queueing model and a set of
orthogonal polynomials. Journal of Mathematical Analysis and Applications
108, 1985, 575-594.
- [217]
- M.E.H. ISMAIL : On sieved orthogonal
polynomials, I : Symmetric Pollaczek analogues. SIAM Journal on
Mathematical Analysis 16, 1985, 1093-1113.
- [218]
- M.E.H. ISMAIL : Asymptotics of the
Askey-Wilson and q-Jacobi polynomials. SIAM Journal on Mathematical
Analysis 17, 1986, 1475-1482.
- [219]
- M.E.H. ISMAIL : On sieved orthogonal
polynomials, IV : Generating functions. Journal of Approximation
Theory 46, 1986, 284-296.
- [220]
- M.E.H. ISMAIL : Asymptotics of Pollaczek
polynomials and their zeros. SIAM Journal on Mathematical Analysis
25, 1994, 462-473.
- [221]
- M.E.H. ISMAIL : Relativistic orthogonal
polynomials are Jacobi polynomials. Journal of Physics A. Mathematical and
General 29, 1996, 3199-3202.
- [222]
- M.E.H. ISMAIL, J. LETESSIER & G. VALENT : Linear birth and death models and associated Laguerre and Meixner
polynomials. Journal of Approximation Theory 55, 1988, 337-348.
- [223]
- M.E.H. ISMAIL, J. LETESSIER & G. VALENT : Quadratic birth and death processes and associated continuous dual
Hahn polynomials. SIAM Journal on Mathematical Analysis 20, 1989,
727-737.
- [224]
- M.E.H. ISMAIL, J. LETESSIER, D.R. MASSON & G. VALENT : Birth and death processes and orthogonal
polynomials. In : Orthogonal Polynomials : Theory and Practice (ed. P. Nevai),
Kluwer Academic Publishers, Dordrecht, 1990, 229-255.
- [225]
- M.E.H. ISMAIL, J. LETESSIER, G. VALENT & J. WIMP : Two families of associated Wilson polynomials.
Canadian Journal of Mathematics 42, 1990, 659-695.
- [226]
- M.E.H. ISMAIL, J. LETESSIER, G. VALENT & J. WIMP :
Some results on associated Wilson polynomials. In : Orthogonal
Polynomials and their Applications (eds. C. Brezinski, L. Gori & A.
Ronveaux). Volume 9 of IMACS Annals on Computing and Applied
Mathematics, J.C. Baltzer Scientific Publishing Company, Basel, 1991,
293-298.
- [227]
- M.E.H. ISMAIL & X. LI : Bound on the extreme
zeros of orthogonal polynomials. Proceedings of the American Mathematical
Society 115, 1992, 131-140.
- [228]
- M.E.H. ISMAIL & C.A. LIBIS : Contiguous
relations, basic hypergeometric functions, and orthogonal polynomials
I. Journal of Mathematical Analysis and Applications 141,
1989, 349-372.
- [229]
- M.E.H. ISMAIL & D.R. MASSON : q-Hermite
polynomials, biorthogonal rational functions, and q-beta integrals.
Transactions of the American Mathematical Society 346, 1994, 63-116.
- [230]
- M.E.H. ISMAIL & D.R. MASSON : Generalized
orthogonality and continued fractions. Journal of Approximation Theory
83, 1995, 1-40.
- [231]
- M.E.H. ISMAIL, D.R. MASSON & M. RAHMAN :
Complex weight functions for classical orthogonal polynomials.
Canadian Journal of Mathematics 43, 1991, 1294-1308.
- [232]
- M.E.H. ISMAIL, D.R. MASSON & S.K. SUSLOV :
Some generating functions for q-polynomials. In : Special Functions,
q-Series and Related Topics (eds. M.E.H. Ismail, D.R. Masson & M. Rahman),
Fields Institute Communications 14, 1997, 91-108.
- [233]
- M.E.H. ISMAIL & M.E. MULDOON :
A discrete approach to monotonicity of zeros of orthogonal polynomials.
Transactions of the American Mathematical Society 323, 1991, 65-78.
- [234]
- M.E.H. ISMAIL & M. RAHMAN :
The associated Askey-Wilson polynomials. Transactions of the American
Mathematical Society 328, 1991, 201-237.
- [235]
- M.E.H. ISMAIL & M. RAHMAN : The
q-Laguerre polynomials and related moment problems. Journal of
Mathematical Analysis and Applications 218, 1998, 155-174.
- [236]
- M.E.H. ISMAIL, M. RAHMAN & S.K. SUSLOV : Some
summation theorems and transformations for q-series. Canadian Journal of
Mathematics 49, 1997, 543-567.
- [237]
- M.E.H. ISMAIL, M. RAHMAN & R. ZHANG :
Diagonalization of certain integral operators II. Journal of
Computational and Applied Mathematics 68, 1996, 163-196.
- [238]
- M.E.H. ISMAIL & D. STANTON :
On the Askey-Wilson and Rogers polynomials. Canadian Journal of Mathematics
40, 1988, 1025-1045.
- [239]
- M.E.H. ISMAIL & D. STANTON : Classical
orthogonal polynomials as moments. Canadian Journal of Mathematics
49, 1997, 520-542.
- [240]
- M.E.H. ISMAIL, D. STANTON & G. VIENNOT : The combinatorics of q-Hermite polynomials and the
Askey-Wilson integral. European Journal of Combinatorics 8, 1987,
379-392.
- [241]
- M.E.H. ISMAIL & M.V. TAMHANKAR :
A combinatorial approach to some positivity problems. SIAM Journal on
Mathematical Analysis 10, 1979, 478-485.
- [242]
- M.E.H. ISMAIL & J.A. WILSON :
Asymptotic and generating relations for the q-Jacobi and
polynomials. Journal of Approximation Theory 36, 1982, 43-54.
- [243]
- M.E.H. ISMAIL & R. ZHANG : Diagonalization of
certain integral operators. Advances in Mathematics 109, 1994, 1-33.
- [244]
- D.M. JACKSON : Laguerre polynomials and
derangements. Mathematical Proceedings of the Cambridge Philosophical
Society 80, 1976, 213-214.
- [245]
- V.K. JAIN & H.M. SRIVISTAVA : New results
involving a certain class of q-orthogonal polynomials. Journal of
Mathematical Analysis and Applications 166, 1992, 331-344.
- [246]
- V.K. JAIN & H.M. SRIVISTAVA : Some families of
multilinear q-generating functions and combinatorial q-series
identities. Journal of Mathematical Analysis and Applications 192,
1995, 413-438.
- [247]
- X.-S. JIN & R. WONG : Uniform asymptotic expansions
for Meixner polynomials. Constructive Approximation 14, 1998,
113-150.
- [248]
- E.G. KALNINS & W. MILLER JR. :
q-Series and orthogonal polynomials associated with Barnes' first lemma.
SIAM Journal on Mathematical Analysis 19, 1988, 1216-1231.
- [249]
- E.G. KALNINS & W. MILLER JR. :
Symmetry techniques for q-series : Askey-Wilson polynomials. The Rocky
Mountain Journal of Mathematics 19, 1989, 223-230.
- [250]
- S. KARLIN & J. MCGREGOR : Linear
growth ; birth and death processes. Journal of Mathematics and Mechanics
7, 1958, 643-662.
- [251]
- S. KARLIN & J.L. MCGREGOR : The
Hahn polynomials, formulas and an application. Scripta Mathematicae
26, 1961, 33-46.
- [252]
- D. KIM : On combinatorics of Al-Salam and Carlitz
polynomials. European Journal of Combinatorics 18, 1997, 295-302.
- [253]
- E. KOCHNEFF : Expansions in Laguerre
polynomials of negative order. Journal of Approximation Theory 81,
1995, 332-346.
- [254]
- E. KOCHNEFF : Expansions in Jacobi
polynomials of negative order. Constructive Approximation 13, 1997,
435-446.
- [255]
- E. KOCHNEFF : Weighted norm inequalities for
fractional integrals with an application to mean convergence of Laguerre
series. Journal of Approximation Theory 91, 1997, 84-102.
- [256]
- H.T. KOELINK : The addition formula for
continuous q-Legendre polynomials and associated spherical elements on the
quantum group related to Askey-Wilson polynomials. SIAM Journal on
Mathematical Analysis 25, 1994, 197-217.
- [257]
- H.T. KOELINK : Addition formula for big
q-Legendre polynomials from the quantum group. Canadian Journal
of Mathematics 47, 1995, 436-448.
- [258]
- H.T. KOELINK : Identities for
q-ultraspherical polynomials and Jacobi functions. Proceedings of the
American Mathematical Society 123, 1995, 2479-2487.
- [259]
- H.T. KOELINK : Askey-Wilson polynomials and
the quantum group : survey and applications. Acta Applicandae
Mathematicae 44, 1996, 295-352.
- [260]
- H.T. KOELINK : On Jacobi and continuous Hahn
polynomials. Proceedings of the American Mathematical Society 124,
1996, 887-898.
- [261]
- H.T. KOELINK : Yet another basic analogue of
Graf's addition formula. Journal of Computational and Applied Mathematics
68, 1996, 209-220.
- [262]
- E. KOELINK : Addition formulas for
q-special functions. In : Special Functions, q-Series and Related
Topics (eds. M.E.H. Ismail, D.R. Masson & M. Rahman), Fields Institute
Communications 14, 1997, 109-129.
- [263]
- H.T. KOELINK & T.H. KOORNWINDER :
The Clebsch-Gordan coefficients for the quantum group and
q-Hahn polynomials. Indagationes Mathematicae 51, 1989, 443-456.
- [264]
- T.H. KOORNWINDER : The addition formula for
Jacobi polynomials I. Summary of results. Indagationes
Mathematicae 34, 1972, 188-191.
- [265]
- T. KOORNWINDER : The addition formula for
Jacobi polynomials and spherical harmonics. SIAM Journal on Applied
Mathematics 25, 1973, 236-246.
- [266]
- T. KOORNWINDER : Jacobi polynomials II.
An analytic proof of the product formula. SIAM Journal on Mathematical
Analysis 5, 1974, 125-137.
- [267]
- T. KOORNWINDER : Jacobi polynomials III.
An analytic proof of the addition formula. SIAM Journal on Mathematical
Analysis 6, 1975, 533-543.
- [268]
- T. KOORNWINDER : The addition formula for
Laguerre polynomials. SIAM Journal on Mathematical Analysis 8, 1977,
535-540.
- [269]
- T. KOORNWINDER : Yet another proof of the
addition formula for Jacobi polynomials. Journal of Mathematical Analysis
and Applications 61, 1977, 136-141.
- [270]
- T. KOORNWINDER : Positivity proofs for
linearization and connection coefficients of orthogonal polynomials
satisfying an addition formula. Journal of the London Mathematical Society
(2) 18, 1978, 101-114.
- [271]
- T.H. KOORNWINDER : Clebsch-Gordan coefficients
for and Hahn polynomials. Nieuw Archief voor Wiskunde 29,
1981, 140-155.
- [272]
- T.H. KOORNWINDER : Krawtchouk polynomials, a
unification of two different group theoretic interpretations. SIAM Journal
on Mathematical Analysis 13, 1982, 1011-1023.
- [273]
- T.H. KOORNWINDER : Special orthogonal
polynomial systems mapped onto each other by the Fourier-Jacobi transform.
In : Polynômes Orthogonaux et Applications (eds. C. Brezinski et al.).
Lecture Notes in Mathematics 1171, 1985, Springer-Verlag, New York,
174-183.
- [274]
- T.H. KOORNWINDER : Group theoretic
interpretations of Askey's scheme of hypergeometric orthogonal polynomials.
In : Orthogonal Polynomials and Their Applications (eds. M. Alfaro et al.).
Lecture Notes in Mathematics 1329, Springer-Verlag, New York, 1988,
46-72.
- [275]
- T.H. KOORNWINDER : Continuous q-Legendre
polynomials as spherical matrix elements of irreducible representations of
the quantum group. C.W.I. Quarterly 2, 1989, 171-173.
- [276]
- T.H. KOORNWINDER : Meixner-Pollaczek
polynomials and the Heisenberg algebra. Journal of Mathematical Physics
30 (4), 1989, 767-769.
- [277]
- T.H. KOORNWINDER : Representations of the twisted
quantum group and some q-hypergeometric orthogonal polynomials.
Indagationes Mathematicae 51, 1989, 97-117.
- [278]
- T.H. KOORNWINDER : Jacobi functions as limit
cases of q-ultraspherical polynomials. Journal of Mathematical Analysis
and Applications 148, 1990, 44-54.
- [279]
- T.H. KOORNWINDER : Orthogonal polynomials in
connection with quantum groups. In : Orthogonal Polynomials : Theory and
Practice (ed. P. Nevai), Kluwer, Dordrecht, 1990, 257-292.
- [280]
- T.H. KOORNWINDER : The addition formula for
little q-Legendre polynomials and the quantum group. SIAM Journal
on Mathematical Analysis 22, 1991, 295-301.
- [281]
- T.H. KOORNWINDER : Askey-Wilson polynomials for
root systems of type BC. Contemporary Mathematics 138, 1992, 189-204.
- [282]
- T.H. KOORNWINDER : Askey-Wilson polynomials as
zonal spherical functions on the quantum group. SIAM Journal on
Mathematical Analysis 24, 1993, 795-813.
- [283]
- T.H. KOORNWINDER : Special functions and
q-commuting variables. In : Special Functions, q-Series and Related
Topics (eds. M.E.H. Ismail, D.R. Masson & M. Rahman), Fields Institute
Communications 14, 1997, 131-166.
- [284]
- K.H. KWON & L.L. LITTLEJOHN : The orthogonality
of the Laguerre polynomials for positive integers k.
Annals of Numerical Mathematics 2, 1995, 289-303.
- [285]
- K.H. KWON, B.H. YOO & G.J. YOON : A
characterization of Hermite polynomials. Journal of Computational and
Applied Mathematics 78, 1997, 295-299.
- [286]
- J. LABELLE & Y.N. YEH : Combinatorial
proofs of some limit formulas involving orthogonal polynomials. Discrete
Mathematics 79, 1989, 77-93.
- [287]
- J. LABELLE & Y.N. YEH : Combinatorial
proofs of symmetry formulas for the generalized hypergeometric series.
Journal of Mathematical Analysis and Applications 139, 1989, 36-48.
- [288]
- J. LABELLE & Y.N. YEH : The combinatorics of
Laguerre, Charlier, and Hermite polynomials. Studies in Applied Mathematics
80, 1989, 25-36.
- [289]
- A. LAFORGIA : A monotonic property for the
zeros of ultraspherical polynomials. Proceedings of the American
Mathematical Society 83, 1981, 757-758.
- [290]
- T.P. LAINE : Projection formulas and a new proof
of the addition formula for the Jacobi polynomials. SIAM Journal on
Mathematical Analysis 13, 1982, 324-330.
- [291]
- P.A. LEE : Explicit formula for the multiple
generating function of product of generalized Laguerre polynomials.
Journal of Physics A. Mathematical and General 30, 1997, L183-L186.
- [292]
- P.A. LEE : Markov processes and a multiple
generating function of product of generalized Laguerre polynomials.
Journal of Physics A. Mathematical and General 30, 1997, L373-L377.
- [293]
- D.A. LEONARD : Orthogonal polynomials, duality
and association schemes. SIAM Journal on Mathematical Analysis 13,
1982, 656-663.
- [294]
- P. LESKY : Über Polynomsysteme, die
Sturm-Liouvilleschen Differenzengleichungen genügen. Mathematische
Zeitschrift 78, 1962, 439-445.
- [295]
- P. LESKY : Eine Vervollständigung der
Hahnpolynome. Österreichische Akademie der Wissenschaften.
Mathematisch-Naturwissenschaftliche Klasse. Sitzungsberichte. Abteilung II 197, 1988, 379-389.
- [296]
- P. LESKY : Die Vervollständigung der
diskreten klassischen Orthogonalpolynome. Österreichische Akademie
der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse.
Sitzungsberichte. Abteilung II 198, 1989, 295-315.
- [297]
- P.A. LESKY : Racahpolynome und duale
Hahnpolynome als Lösungen von Eigenwertproblemen. Österreichische
Akademie der Wissenschaften Mathematisch-Naturwissenschaftliche Klasse.
Sitzungsberichte. Abteilung II 202, 1993, 163-172.
- [298]
- P.A. LESKY : Dualität bei Polynomlösungen
von reellen Differenzengleichungen zweiter Ordnung. Österreichische
Akademie der Wissenschaften Mathematisch-Naturwissenschaftliche Klasse.
Sitzungsberichte. Abteilung II 203, 1994, 63-80.
- [299]
- P.A. LESKY : Dualität bei Polynomlösungen
von komplexen Differenzengleichungen zweiter Ordnung. Österreichische
Akademie der Wissenschaften Mathematisch-Naturwissenschaftliche
Klasse. Sitzungsberichte. Abteilung II 203, 1994, 81-100.
- [300]
- P.A. LESKY : Orthogonalität von dualen
Hahnpolynomen und continuous dualen Hahnpolynomen. Österreichische
Akademie der Wissenschaften Mathematisch-Naturwissenschaftliche Klasse.
Sitzungsberichte. Abteilung II 204, 1995, 81-95.
- [301]
- P.A. LESKY : Vervollständigung der klassischen
Orthogonalpolynome durch Ergänzungen zum Askey-Schema der
hypergeometrischen orthogonalen Polynome. Österreichische Akademie der
Wissenschaften Mathematisch-Naturwissenschaftliche Klasse. Sitzungsberichte.
Abteilung II 204, 1995, 151-166.
- [302]
- P.A. LESKY : Endliche und undendliche Systeme
von kontinuierlichen klassischen Orthogonalpolynomen. Zeitschrift für
Angewandte Mathematik und Mechanik 76, 1996, 181-184.
- [303]
- P.A. LESKY : Unendliche und endliche
Orthogonalsysteme von continuous Hahnpolynomen. Results in Mathematics
31, 1997, 127-135.
- [304]
- J. LETESSIER & G. VALENT : The
generating function method for quadratic asymptotically symmetric birth and
death processes. SIAM Journal on Applied Mathematics 44,
1984, 773-783.
- [305]
- J. LETESSIER & G. VALENT : Dual
birth and death processes and orthogonal polynomials. SIAM Journal on
Applied Mathematics 46, 1986, 393-405.
- [306]
- S. LEWANOWICZ : Second-order recurrence
relation for the linearization coefficients of the classical orthogonal
polynomials. Journal of Computational and Applied Mathematics 69,
1996, 159-170.
- [307]
- S. LEWANOWICZ : Recurrence relations for
the connection coefficients of orthogonal polynomials of a discrete variable.
Journal of Computational and Applied Mathematics 76, 1996, 213-229.
- [308]
- Z. LI : Conjugate Jacobi series and conjugate
functions. Journal of Approximation Theory 86, 1996, 179-196.
- [309]
- Z. LI : On the Cesàro means of conjugate Jacobi
series. Journal of Approximation Theory 91, 1997, 103-116.
- [310]
- L. LORCH : Inequalities for ultraspherical
polynomials and the gamma function. Journal of Approximation Theory
40, 1984, 115-120.
- [311]
- Y.L. LUKE : The special functions and their
approximations. Volume 1. Mathematics in Science and Engineering, Volume
53. Academic Press, New York, 1969.
- [312]
- D.R. MASSON : Associated Wilson polynomials.
Constructive Approximation 7, 1991, 521-534.
- [313]
- T. MASUDA, K. MIMACHI, Y. NAKAGAMI, M. NOUMI &
K. UENO : Representations of the quantum group
and the little q-Jacobi polynomials. Journal of Functional Analysis
99, 1991, 357-386.
- [314]
- A.M. MATHAI : A Handbook of Generalized Special
Functions for Statistical and Physical Sciences. Clarendon Press, Oxford,
1993.
- [315]
- H.G. MEIJER : Asymptotic expansion of Jacobi
polynomials. In : Polynômes Orthogonaux et Applications (eds. C.
Brezinski et al.). Lecture Notes in Mathematics 1171, 1985,
Springer-Verlag, New York, 380-389.
- [316]
- J. MEIXNER : Orthogonale Polynomsysteme mit einer besonderen Gestalt
der erzeugenden Funktion. Journal of the London Mathematical Society 9, 1934, 6-13.
- [317]
- W. MILLER JR. : A note on Wilson polynomials.
SIAM Journal on Mathematical Analysis 18, 1987, 1221-1226.
- [318]
- W. MILLER JR. : Symmetry techniques and
orthogonality for q-series. In : q-Series and Partitions (ed.
D. Stanton). The IMA Volumes in Mathematics and Its Applications, Volume 18,
Springer-Verlag, New York, 1989, 191-212.
- [319]
- D.S. MOAK : The q-analogue of the Laguerre polynomials.
Journal of Mathematical Analysis and Applications 81, 1981, 20-47.
- [320]
- D.S. MOAK, E.B. SAFF & R.S. VARGA :
On the zeros of Jacobi polynomials .
Transactions of the American Mathematical Society 249, 1979, 159-162.
- [321]
- B. NAGEL : The relativistic Hermite polynomial is
a Gegenbauer polynomial. Journal of Mathematical Physics 35 (4),
1994, 1549-1554.
- [322]
- B. NASSRALLAH & M. RAHMAN :
Projection formulas, a reproducing kernel and a generating function for
q-Wilson polynomials. SIAM Journal on Mathematical Analysis 16,
1985, 186-197.
- [323]
- A.F. NIKIFOROV, S.K. SUSLOV & V.B. UVAROV : Classical orthogonal polynomials of a discrete variable.
Springer Series in Computational Physics, Springer-Verlag, New York, 1991.
- [324]
- M. NOUMI & K. MIMACHI : Askey-Wilson
polynomials and the quantum group . Proceedings of the Japan
Academy, Series A. Mathematical Sciences 66, 1990, 146-149.
- [325]
- M. NOUMI & K. MIMACHI : Big
q-Jacobi polynomials, q-Hahn polynomials, and a family of quantum
3-spheres. Letters in Mathematical Physics 19, 1990, 299-305.
- [326]
- M. NOUMI & K. MIMACHI : Quantum
2-spheres and big q-Jacobi polynomials. Communications in Mathematical
Physics 128, 1990, 521-531.
- [327]
- M. NOUMI & K. MIMACHI :
Roger's q-ultraspherical polynomials on a quantum 2-sphere. Duke
Mathematical Journal 63, 1991, 65-80.
- [328]
- M. NOUMI & K. MIMACHI : Askey-Wilson
polynomials as spherical functions on . In : Quantum groups
(Leningrad, 1990). Lecture Notes in Mathematics 1510, 1992, 98-103.
- [329]
- F.W.J. OLVER : Asymptotics and special
functions. Computer Science and Applied Mathematics, Academic Press,
New York, 1974.
- [330]
- T.E. PÉREZ & M.A. PIÑAR : On Sobolev
orthogonality for the generalized Laguerre polynomials. Journal of
Approximation Theory 86, 1996, 278-285.
- [331]
- M. PERLSTADT : A property of orthogonal
polynomial families with polynomial duals. SIAM Journal on Mathematical
Analysis 15, 1984, 1043-1054.
- [332]
- G. PITTALUGA & L. SACRIPANTE : Bounds for
the zeros of Hermite polynomials. Annals of Numerical Mathematics 2,
1995, 371-379.
- [333]
- J. PRASAD & H. HAYASHI : On the uniform
approximation of smooth functions by Jacobi polynomials. Canadian Journal
of Mathematics 25, 1973, 216-223.
- [334]
- M. RAHMAN : Construction of a family of
positive kernels from Jacobi polynomials. SIAM Journal on Mathematical
Analysis 7, 1976, 92-116.
- [335]
- M. RAHMAN : A five-parameter family of
positive kernels from Jacobi polynomials. SIAM Journal on Mathematical
Analysis 7, 1976, 386-413.
- [336]
- M. RAHMAN : Some positive kernels and
bilinear sums for Hahn polynomials. SIAM Journal on Mathematical Analysis
7, 1976, 414-435.
- [337]
- M. RAHMAN : On a generalization of the Poisson
kernel for Jacobi polynomials. SIAM Journal on Mathematical Analysis
8, 1977, 1014-1031.
- [338]
- M. RAHMAN : A generalization of Gasper's
kernel for Hahn polynomials : application to Pollaczek polynomials.
Canadian Journal of Mathematics 30, 1978, 133-146.
- [339]
- M. RAHMAN : A positive kernel for
Hahn-Eberlein polynomials. SIAM Journal on Mathematical Analysis 9,
1978, 891-905.
- [340]
- M. RAHMAN : An elementary proof of Dunkl's
addition theorem for Krawtchouk polynomials. SIAM Journal on Mathematical
Analysis 10, 1979, 438-445.
- [341]
- M. RAHMAN : A product formula and a
non-negative Poisson kernel for Racah-Wilson polynomials.
Canadian Journal of Mathematics 32, 1980, 1501-1517.
- [342]
- M. RAHMAN : A non-negative representation of
the linearization coefficients of the product of Jacobi polynomials.
Canadian Journal of Mathematics 33, 1981, 915-928.
- [343]
- M. RAHMAN : A stochastic matrix and bilinear
sums for Racah-Wilson polynomials. SIAM Journal on Mathematical Analysis
12, 1981, 145-160.
- [344]
- M. RAHMAN : Families of biorthogonal
rational functions in a discrete variable. SIAM Journal on Mathematical
Analysis 12, 1981, 355-367.
- [345]
- M. RAHMAN : The linearization of the product
of continuous q-Jacobi polynomials. Canadian Journal of Mathematics
33, 1981, 961-987.
- [346]
- M. RAHMAN : Reproducing kernels and bilinear
sums for q-Racah and q-Wilson polynomials. Transactions of the American
Mathematical Society 273, 1982, 483-508.
- [347]
- M. RAHMAN : A q-extension of Feldheim's
bilinear sum for Jacobi polynomials and some applications. Canadian Journal
of Mathematics 37, 1985, 551-578.
- [348]
- M. RAHMAN : A product formula for the
continuous q-Jacobi polynomials. Journal of Mathematical Analysis and
Applications 118, 1986, 309-322.
- [349]
- M. RAHMAN : q-Wilson functions of the
second kind. SIAM Journal on Mathematical Analysis 17, 1986,
1280-1286.
- [350]
- M. RAHMAN : A projection formula for the
Askey-Wilson polynomials and an application. Proceedings of the American
Mathematical Society 103, 1988, 1099-1107.
- [351]
- M. RAHMAN : A simple proof of Koornwinder's
addition formula for the little q-Legendre polynomials. Proceedings of
the American Mathematical Society 107, 1989, 373-381.
- [352]
- M. RAHMAN : Askey-Wilson functions of the first
and second kinds : series and integral representations of
. Journal of Mathematical Analysis and
Applications 164, 1992, 263-284.
- [353]
- M. RAHMAN : Some generating functions for the
associated Askey-Wilson polynomials. Journal of Computational and Applied
Mathematics 68, 1996, 287-296.
- [354]
- M. RAHMAN & M.J. SHAH : An infinite series
with products of Jacobi polynomials and Jacobi functions of the second
kind. SIAM Journal on Mathematical Analysis 16, 1985, 859-875.
- [355]
- M. RAHMAN & S.K. SUSLOV : Singular analogue of
the Fourier transformation for the Askey-Wilson polynomials. In :
Symmetries and integrability of difference equations (Estérel, PQ, 1994).
Centre de Recherches Mathématiques. CRM Proceedings and Lecture Notes
9, 1996, 289-302.
- [356]
- M. RAHMAN & A. VERMA : A q-integral
representation of Rogers' q-ultraspherical polynomials and some
applications. Constructive Approximation 2, 1986, 1-10.
- [357]
- M. RAHMAN & A. VERMA : Product
and addition formulas for the continuous q-ultraspherical polynomials.
SIAM Journal on Mathematical Analysis 17, 1986, 1461-1474.
- [358]
- M. RAHMAN & A. VERMA : Infinite sums of
product of continuous q-ultraspherical functions. The Rocky Mountain
Journal of Mathematics 17, 1987, 371-384.
- [359]
- M. RAHMAN & A. VERMA : Positivity of the
Poisson kernel for the Askey-Wilson polynomials. Indian Journal of
Mathematics 33, 1991, 287-306.
- [360]
- E.D. RAINVILLE : Special functions.
The Macmillan Company, New York, 1960.
- [361]
- M. REIMER : Uniform inequalities for Gegenbauer
polynomials. Acta Mathematica Hungarica 70, 1996, 13-26.
- [362]
- T.J. RIVLIN : The Chebyshev polynomials. Pure
and Applied Mathematics. A Wiley Interscience series of Texts, Monographs
and Tracts. John Wiley and Sons, New York, 1974.
- [363]
- L.J. ROGERS : On the exansion of some infinite
products. Proceedings of the London Mathematical Society 24, 1893,
337-352.
- [364]
- L.J. ROGERS : Second memoir on the expansion of
certain infinite products. Proceedings of the London Mathematical Society
25, 1894, 318-343.
- [365]
- L.J. ROGERS : Third memoir on the expansion of
certain infinite products. Proceedings of the London Mathematical Society
26, 1895, 15-32.
- [366]
- P. SABLONNIÈRE : Discrete Bernstein bases
and Hahn polynomials. Journal of Computational and Applied Mathematics
49, 1993, 233-241.
- [367]
- M. DE SAINTE-CATHERINE & G. VIENNOT : Combinatorial interpretation of integrals of products of Hermite,
Laguerre and Tchebycheff polynomials. In : Polynômes Orthogonaux et
Applications (eds. C. Brezinski et al.). Lecture Notes in Mathematics
1171, 1985, Springer-Verlag, New York, 120-128.
- [368]
- F. SARTORETTO & R. SPIGLER : Computing
expansion coefficients in orthogonal bases of ultraspherical polynomials.
Journal of Computational and Applied Mathematics 56, 1994, 295-303.
- [369]
- Y.G. SHI : Regularity and explicit representation
of -interpolation on the zeros of the Jacobi
polynomials. Journal of Approximation Theory 76, 1994, 274-285.
- [370]
- V. SPIRIDONOV & A. ZHEDANOV :
q-Ultraspherical polynomials for q a root of unity. Letters in
Mathematical Physics 37, 1996, 173-180.
- [371]
- V. SPIRIDONOV & A. ZHEDANOV : Zeros and
orthogonality of the Askey-Wilson polynomials for q a root of unity. Duke
Mathematical Journal 89, 1997, 283-305.
- [372]
- H.M. SRIVASTAVA : Note on generalized
Laguerre polynomials. Bulletin of the Calcutta Mathematical Society
58, 1966, 81-82.
- [373]
- H.M. SRIVASTAVA : A note on certain dual
series equations involving Laguerre polynomials. Pacific Journal of
Mathematics 30, 1969, 525-527.
- [374]
- H.M. SRIVASTAVA : Generating functions for
Jacobi and Laguerre polynomials. Proceedings of the American Mathematical
Society 23, 1969, 590-595.
- [375]
- H.M. SRIVASTAVA : Dual series relations
involving generalized Laguerre polynomials. Journal of Mathematical
Analysis and Applications 31, 1970, 587-594.
- [376]
- H.M. SRIVASTAVA : A class of generating
functions for generalized hypergeometric polynomials. Journal of
Mathematical Analysis and Applications 35, 1971, 230-235.
- [377]
- H.M. SRIVASTAVA : An elementary proof of
Bailey's bilinear generating function for Jacobi polynomials. IMA Journal
of Applied Mathematics 29, 1982, 275-280.
- [378]
- H.M. SRIVASTAVA & V.K. JAIN : Some
multilinear generating functions for q-Hermite polynomials. Journal of
Mathematical Analysis and Applications 144, 1989, 147-157.
- [379]
- H.M. SRIVASTAVA & V.K. JAIN : Some
formulas involving q-Jacobi and related polynomials. Annali di
Matematica Pura ed Applicata (4) 157, 1990, 63-75.
- [380]
- H.M. SRIVASTAVA & J.P. SINGHAL :
New generating functions for Jacobi and related polynomials.
Journal of Mathematical Analysis and Applications 41, 1973, 748-752.
- [381]
- R. SRIVASTAVA & K.K. MATHUR : Weighted
-interpolation on the roots of Hermite polynomials. Acta
Mathematica Hungarica 70, 1996, 57-73.
- [382]
- D. STANTON : A short proof of a generating
function for Jacobi polynomials. Proceedings of the American Mathematical
Society 80, 1980, 398-400.
- [383]
- D. STANTON : Product formulas for q-Hahn
polynomials. SIAM Journal on Mathematical Analysis 11, 1980, 100-107.
- [384]
- D. STANTON : Some q-Krawtchouk polynomials on
Chevalley groups. American Journal of Mathematics 102, 1980, 625-662.
- [385]
- D. STANTON : Orthogonal polynomials and
Chevalley groups. In : Special Functions : Group Theoretical Aspects and
Applications (eds. R.A. Askey et al.). D. Reidel Publishing Company,
Dordrecht, 1984, 87-128.
- [386]
- D. STANTON : An introduction to group
representations and orthogonal polynomials. In : Orthogonal Polynomials :
Theory and Practice (ed. P. Nevai), Kluwer Academic Publishers, Dordrecht,
1990, 419-433.
- [387]
- T.J. STIELTJES : Recherches sur les fractions
continues. Annales de la Faculté des Sciences de Toulouse 8,
1894, J1-122 ; 9, 1895, A1-47 ; uvres Complètes, Volume 2,
398-566.
- [388]
- G. SZEGÖ : Orthogonal polynomials. American Mathematical Society,
Colloquium Publications 23, Providence, Rhode Island, Fourth edition, 1975.
- [389]
- R. SZWARC : Nonnegative linearization and
quadratic transformation of Askey-Wilson polynomials. Canadian Mathematical
Bulletin 39, 1996, 241-249.
- [390]
- N.M. TEMME : Special Functions : An Introduction
to the Classical Functions of Mathematical Physics. John Wiley & Sons, New
York, 1996.
- [391]
- G. VALENT & W. VAN ASSCHE : The impact of
Stieltjes' work on continued fractions and orthogonal polynomials :
additional material. Journal of Computational and Applied Mathematics
65, 1995, 419-447.
- [392]
- W. VAN ASSCHE & T.H. KOORNWINDER :
Asymptotic behaviour for Wall polynomials and the addition formula for
little q-Legendre polynomials. SIAM Journal on Mathematical Analysis
22, 1991, 302-311.
- [393]
- P. VÉRTESI : On the zeros of generalized
Jacobi polynomials. Annals of Numerical Mathematics 4, 1997, 561-577.
- [394]
- G. VIENNOT : A combinatorial theory for general
orthogonal polynomials with extensions and applications. In : Polynômes
Orthogonaux et Applications (eds. C. Brezinski et al.). Lecture Notes in
Mathematics 1171, 1985, Springer-Verlag, New York, 139-157.
- [395]
- B. VISWANATHAN : Generating functions for
ultraspherical functions. Canadian Journal of Mathematics 20, 1968,
120-134.
- [396]
- H.S. WALL : A continued fraction related to some
partition formulas of Euler. The American Mathematical Monthly 48,
1941, 102-108.
- [397]
- L. WEISNER : Generating functions for Hermite
functions. Canadian Journal of Mathematics 11, 1959, 141-147.
- [398]
- S. WIGERT : Sur les polynomes orthogonaux et
l'approximation des fonctions continues. Arkiv för Matematik, Astronomi
och Fysik 17, 1923, 1-15.
- [399]
- J.A. WILSON : Some hypergeometric orthogonal polynomials.
SIAM Journal on Mathematical Analysis 11, 1980, 690-701.
- [400]
- J.A. WILSON : Asymptotics for the
polynomials. Journal of Approximation Theory 66, 1991, 58-71.
- [401]
- M.W. WILSON : Nonnegative expansions of
polynomials. Proceedings of the American Mathematical Society 24,
1970, 100-102.
- [402]
- M.W. WILSON : On the Hahn polynomials. SIAM
Journal on Mathematical Analysis 1, 1970, 131-139.
- [403]
- J. WIMP : Explicit formulas for the associated
Jacobi polynomials and some applications. Canadian Journal of Mathematics
39, 1987, 983-1000.
- [404]
- J. WIMP : Pollaczek polynomials and Padé
approximants : some closed-form expressions. Journal of Computational and
Applied Mathematics 32, 1990, 301-310.
- [405]
- R. WONG & J.-M. ZHANG : Asymptotic monotonicity
of the relative extrema of Jacobi polynomials. Canadian Journal of
Mathematics 46, 1994, 1318-1337.
- [406]
- M. WYMAN : The asymptotic behaviour of the
Hermite polynomials. Canadian Journal of Mathematics 15, 1963,
332-349.
- [407]
- A. ZARZO, I. AREA, E. GODOY & A. RONVEAUX :
Results for some inversion problems for classical continuous and discrete
orthogonal polynomials. Journal of Physics A. Mathematical and General
30, 1997, L35-L40.
- [408]
- A.I. ZAYED : Jacobi polynomials as generalized
Faber polynomials. Transactions of the American Mathematical Society
321, 1990, 363-378.
- [409]
- J. ZENG : Linéarisation de produits de
polynômes de Meixner, Krawtchouk, et Charlier. SIAM Journal on
Mathematical Analysis 21, 1990, 1349-1368.
- [410]
- J. ZENG : The q-Stirling numbers, continued
fractions and the q-Charlier and q-Laguerre polynomials. Journal
of Computational and Applied Mathematics 57, 1995, 413-424.
Last modified on June 12, 1998