4.18 Continuous big q-Hermite

Al-Salam-Chihara Continuous big q-Hermite.

  
If we take the limit in the definition (3.8.1) of the Al-Salam-Chihara polynomials we simply obtain the continuous big q-Hermite polynomials given by (3.18.1) :

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 :




Last modified on July 7, 1998