The affine q-Krawtchouk polynomials defined by (3.16.1)
can be obtained from the q-Hahn polynomials by the substitution and
in (3.6.1) :
The affine q-Krawtchouk polynomials defined by (3.16.1)
can be obtained from the dual q-Hahn polynomials by the substitution
and in (3.7.1) :
Note that in this case.
If we set in the definition (3.16.1)
of the affine q-Krawtchouk polynomials and take the limit
we simply obtain the little q-Laguerre (or Wall)
polynomials defined by (3.20.1) :