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1999•arXiv (Cornell University)Open access

On a difference equation for generalizations of Charlier polynomials

H. 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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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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Available 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.

Key concepts: Orthogonal polynomials, Classical orthogonal polynomials, Discrete orthogonal polynomials, Mathematics, Hahn polynomials, Wilson polynomials, Difference polynomials, Eigenfunction

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