A characterization of the Rogers q-Hermite polynomials
Classical Analysis and ODEs
2016-09-06 v1
Abstract
In this paper we characterize the Rogers q-Hermite polynomials as the only orthogonal polynomial set which is also -Appell where is the Askey-Wilson finite difference operator.
Cite
@article{arxiv.math/9402212,
title = {A characterization of the Rogers q-Hermite polynomials},
author = {Waleed A. Al-Salam},
journal= {arXiv preprint arXiv:math/9402212},
year = {2016}
}