Continuous q-Laguerre.
Continuous q-Laguerre.
The continuous q-Laguerre polynomials defined by (3.19.1)
can be obtained from the Al-Salam-Chihara polynomials given by
(3.8.1) by taking 
and
:
Continuous
q-Laguerre.
If we take 
, 
and 
in the definition
(3.9.1) of the q-Meixner-Pollaczek polynomials we obtain the
continuous q-Laguerre polynomials given by (3.19.1) :
Continuous q-Laguerre.
The continuous q-Laguerre polynomials given by (3.19.1)
and (3.19.15) follow simply from the continuous q-Jacobi
polynomials defined by (3.10.1) and (3.10.14)
respectively by taking the limit 
:
and
Continuous q-Hermite.
The continuous q-Hermite polynomials given by (3.26.1) can
be obtained from the continuous q-Laguerre polynomials defined by
(3.19.1) by taking the limit 
in the
following way :
