A right inverse of the Askey-Wilson operator
Classical Analysis and ODEs
2009-09-25 v1
Abstract
We establish an integral representation of a right inverse of the Askey-Wilson finite difference operator on with weight . The kernel of this integral operator is and is the Riemann mapping function that maps the open unit disc conformally onto the interior of an ellipse.
Keywords
Cite
@article{arxiv.math/9310219,
title = {A right inverse of the Askey-Wilson operator},
author = {B. Malcolm Brown and Mourad E. H. Ismail},
journal= {arXiv preprint arXiv:math/9310219},
year = {2009}
}