Big q-Jacobi.
Big q-Jacobi.
The big q-Jacobi polynomials defined by (3.5.1) can be obtained from the
Askey-Wilson polynomials by setting 
, 
,
and 
in
defined by (3.1.1) and then taking the limit 
:
Big q-Jacobi.
The big q-Jacobi polynomials defined by (3.5.1) can be obtained
from the q-Racah polynomials by setting 
in the definition
(3.2.1) :
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-Jacobi.
The little q-Jacobi polynomials defined by (3.12.1) can be obtained
from the big q-Jacobi polynomials by the substitution 
in the definition
(3.5.1) and then by the limit 
:
q-Meixner.
If we take the limit 
in the definition (3.5.1) of the
big q-Jacobi polynomials we simply obtain the q-Meixner polynomials defined by
(3.13.1) :
