On a difference equation for generalizations of Charlier polynomials

1999/08/27 by Herman Bavinck, Roelof Koekoek
Mathematics · #math.CA #msc:33C45 #msc:39A10

paper · pdf

published as J. Approx. Theory 81 (1995) 195-206 · 11 pages

arxiv created 1999/08/27 · arxiv updated 2009/11/30

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.

Related

• A set of orthogonal polynomials, dual to alternative q-Charlier polynomials
• Exceptional Charlier and Hermite orthogonal polynomials
• Second order difference equations and discrete orthogonal polynomials of two variables
• Constructing bispectral orthogonal polynomials from the classical discrete families of Charlier, Meixner and Krawtchouk
• Matrix-valued bispectral discrete orthogonal polynomials