Al-Salam-Chihara.
Al-Salam-Chihara.
The Al-Salam-Chihara polynomials defined by (3.8.1) simply follow
from the continuous dual q-Hahn polynomials by taking c = 0 in the
definition (3.3.1) of the continuous dual q-Hahn polynomials :
Continuous big q-Hermite.
If we take the limit 
in the definition
(3.8.1) of the Al-Salam-Chihara polynomials we simply
obtain the continuous big q-Hermite polynomials given by (3.18.1) :
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
:
