Big q-Laguerre.
Big q-Laguerre.
If we set b = 0 in the definition (3.5.1) of
the big q-Jacobi polynomials we obtain the big q-Laguerre
polynomials given by (3.11.1) :
Little q-Laguerre / Wall.
The little q-Laguerre (or Wall) polynomials defined by
(3.20.1) can be obtained from the big q-Laguerre
polynomials by taking 
in (3.11.1) and then
letting 
:
Al-Salam-Carlitz I.
If we set 
and 
in the definition
(3.11.1) of the big q-Laguerre polynomials and take the
limit 
we obtain the Al-Salam-Carlitz I polynomials given by
(3.24.1) :
