Publications
- An Askey-Wilson algebra of rank 2, SIGMA 19 (2023), 008, 35 pages, with Carel Wagenaar.
- Orthogonal functions related to Lax pairs in Lie algebras, Ramanujan J. (2021), with Erik Koelink.
- q-Orthogonal dualities for asymmetric particle systems, Electron. J. Probab. 26 (2021), Paper No. 108, 38 pages, with Gioia Carinci and Chiara Franceschini.
- A quantum algebra approach to multivariate Askey-Wilson polynomials, Int. Math. Res. Not. IMRN 2021, no. 5, 3224-3266.
- Orthogonal dualities of Markov processes and unitary symmetries, SIGMA 15 (2019), 053, 27 pages, with Gioia Carinci, Chiara Franceschini, Cristian Giardinà and Frank Redig.
- Orthogonal stochastic duality functions from Lie algebra representations, J. Stat. Phys. 174 (2019), no. 1, 97-119.
- A solution to the Al-Salam-Chihara moment problem, in: Positivity and Noncommutative Analysis, Festschrift in Honour of Ben de Pagter on the Occasion of his 65th Birthday, G. Buskes, M. de Jeu, P. Dodds, A. Schep, F. Sukochev, J.van Neerven, A. Wickstead (Eds.), Birkhäuser, 2019, 223-248.
- Self-duality of Markov processes and intertwining functions, Math. Phys. Anal. Geom. (2018) with Chiara Franceschini and Cristian Giardinà.
- 3nj-symbols and identities for q-Bessel functions, Ramanujan Journal 47 (2018), 317-337.
- Orthogonality relations for Al-Salam--Carlitz polynomials of type II, J. Approx. Theory 195 (2015), 89-108.
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Coupling coefficients for tensor product representations of quantum SU(2), J. Math. Phys. 55 (2014)
- A hypergeometric function transform and matrix-valued orthogonal polynomials, Constr. Approx. 38, (2013), 277-309, with Erik Koelink.
- Spectral decomposition and matrix-valued orthogonal polynomials, Advances in Mathematics (2013), 91-105, with Mourad E.H. Ismail and Erik Koelink.
- Quantum analogs of tensor product representations of su(1,1), SIGMA 7 (2011), 077, 17 pages.
- The indeterminate moment problem for the q-Meixner polynomials, J. Approx. Theory 163 (2011), 838-863, with Erik Koelink.
- The dual quantum group for the quantum group analogue of the normalizer of SU(1,1) in SL(2,C), Internat. Math. Res. Notices 2010, no. 7, 1167-1314, with Erik Koelink and Johan Kustermans.
- Multivariable Wilson polynomials and degenerate Hecke algebras, Selecta Mathematica, New Series 15 (2009), no. 3, 377-418.
- The vector-valued big q-Jacobi transform, Constructive Approximation 29 (2009), no. 1, 85-127.
- Fourier transforms related to a root system of rank 1, Transformation Groups 12 (2007), no. 1, 77-116.
- Asymptotics and zeros of symmetrically coherent pairs of Hermite type, Difference equations, special functions and orthogonal polynomials, 378-393, World Sci. Publ., Hackensack, NJ, 2007, with M.G. De Bruin, F. Marcellán, H.G. Meijer, and J.J. Moreno-Balcázar.
- Wilson function transforms related to Racah coefficients, Acta Applicandae Mathematicae 91 (2006), 133-191.
- Continuous Hahn functions as Clebsch-Gordan coefficients, Theory and applications of special functions, 221-284, Dev. Math., 13, Springer, New York, 2005, with Erik Koelink and Hjalmar Rosengren.
- Bilinear summation formulas from quantum algebra representations, Ramanujan J. 8 (2004), no. 3, 383-416.
- Laguerre functions and representations of su(1,1), Indag. Math. (N.S.) 14 (2003), no. 3-4, 329-352.
- The Wilson function transform, Int. Math. Res. Not. 2003, no. 52, 2779-2817.
- Zeros of Sobolev orthogonal polynomials of Hermite type, Appl. Math. Comput. 132 (2002), no. 1, 135-166, with Marcel de Bruin and Henk Meijer.
- Meixner functions and polynomials related to Lie algebra representations, J. Phys. A 35 (2002), no. 1, 65-85, with Erik Koelink.
- Zeros of Sobolev orthogonal polynomials of Gegenbauer type, J. Approx. Theory 114 (2002), no. 1, 115-140.
You can find most of my papers on
arXiv.