On a difference equation for generalizations of Charlier polynomials

Herman Bavinck, Roelof Koekoek

Published 1999-08-27Version 1

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.