On a class of bivariate second-order linear partial difference equations and their monic orthogonal polynomial solutions

DOI10.1016/j.jmaa.2011.11.027zbMath1236.39015OpenAlexW2094350779MaRDI QIDQ663694

Juan-Miguel Gracia

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.11.027

zbMATH Keywords

three-term recurrence relationbivariate Charlier-Meixner, Kravchuk and Hahn polynomialsbivariate orthogonal polynomials of discrete variablegeneralized Kampé de Feriet hypergeometric seriessecond-order admissible potentially self-adjoint partial difference equations of hypergeometric type

Mathematics Subject Classification ID

Other special orthogonal polynomials and functions (33C47) Partial difference equations (39A14)

Related Items (9)

Monic bivariate polynomials on quadratic and \(q\)-quadratic lattices ⋮ On a symmetric generalization of bivariate Sturm-Liouville problems ⋮ On moments of hypergeometric bivariate weight functions ⋮ Zero sets of bivariate Hermite polynomials ⋮ Linear partial \(q\)-difference equations on \(q\)-linear lattices and their bivariate \(q\)-orthogonal polynomial solutions ⋮ Linear Partial Divided-Difference Equation Satisfied by Multivariate Orthogonal Polynomials on Quadratic Lattices ⋮ Bivariate Symmetric Discrete Orthogonal Polynomials ⋮ Hypergeometric Multivariate Orthogonal Polynomials ⋮ Three term relations for multivariate Uvarov orthogonal polynomials

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