4.26 Continuous q-Hermite

Continuous big q-Hermite Continuous q-Hermite.

   
The continuous q-Hermite polynomials defined by (3.26.1) can easily be obtained from the continuous big q-Hermite polynomials given by (3.18.1) by taking a = 0 :

Continuous q-Laguerre Continuous q-Hermite.

   
The continuous q-Hermite polynomials given by (3.26.1) can be obtained from the continuous q-Laguerre polynomials defined by (3.19.1) by taking the limit in the following way :




Last modified on July 7, 1998