Quantum q-Krawtchouk.
Quantum q-Krawtchouk.
The quantum q-Krawtchouk polynomials defined by (3.14.1)
simply follow from the q-Hahn polynomials by setting 
in the definition (3.6.1) of
the q-Hahn polynomials and taking the limit 
:
Al-Salam-Carlitz II.
If we set 
in the definition (3.14.1)
of the quantum q-Krawtchouk polynomials and let 
we
obtain the Al-Salam-Carlitz II polynomials given by
(3.25.1). In fact we have
