4.4 Continuous q-Hahn

Askey-Wilson Continuous q-Hahn.

  
The continuous q-Hahn polynomials defined by (3.4.1) can be obtained from the Askey-Wilson polynomials given by (3.1.1) by the substitutions , , , and :

Continuous q-Hahn 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 :




Last modified on July 7, 1998