On a difference equation for generalizations of Charlier polynomials
Classical Analysis and ODEs
2007-05-23 v1
Abstract
In this paper we obtain a set of polynomials which are orthogonal with respect to the classical discrete weight function of the Charlier polynomials at which an extra point mass at x=0 is added. We construct a difference operator of infinite order for which these new discrete orthogonal polynomials are eigenfunctions.
Cite
@article{arxiv.math/9908144,
title = {On a difference equation for generalizations of Charlier polynomials},
author = {Herman Bavinck and Roelof Koekoek},
journal= {arXiv preprint arXiv:math/9908144},
year = {2007}
}
Comments
11 pages