q-Charlier.
q-Charlier.
The q-Meixner polynomials and the q-Charlier polynomials defined by (3.13.1)
and (3.23.1) respectively are simply related by the limit 
in the definition (3.13.1) of the q-Meixner polynomials. In fact we have
q-Charlier.
The q-Charlier polynomials given by (3.23.1) can be obtained
from the q-Krawtchouk polynomials defined by (3.15.1) by
setting 
in the definition (3.15.1) of the
q-Krawtchouk polynomials and then taking the limit 
:
Stieltjes-Wigert.
If we set 
in the definition (3.23.1) of the
q-Charlier polynomials and take the limit 
we obtain
the Stieltjes-Wigert polynomials given by (3.27.1) in the
following way :
