q-Meixner-Pollaczek.
q-Meixner-Pollaczek.
The q-Meixner-Pollaczek polynomials defined by (3.9.1) simply follow
from the continuous q-Hahn polynomials if we set d = a and b = c = 0 in the
definition (3.4.1) of the continuous q-Hahn polynomials :
Continuous q-ultraspherical /
Rogers.
If we take 
and 
in the definition (3.9.1) of the
q-Meixner-Pollaczek polynomials we obtain the continuous
q-ultraspherical (or Rogers) polynomials given by (3.10.15) :
Continuous
q-Laguerre.
If we take 
, 
and 
in the definition
(3.9.1) of the q-Meixner-Pollaczek polynomials we obtain the
continuous q-Laguerre polynomials given by (3.19.1) :
