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On a difference equation for generalizations of Charlier polynomials

Herman Bavinck·Roelof Koekoek
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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.

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Herman Bavinck, Roelof Koekoek. 1999-08-27. On a difference equation for generalizations of Charlier polynomials. https://arxiv.org/abs/math/9908144

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