Bivariate second-order linear partial differential equations and orthogonal polynomial solutions

DOI10.1016/j.jmaa.2011.10.024zbMath1248.35037arXiv1101.2640OpenAlexW2002130456MaRDI QIDQ655522

A. Zarzo, Eduardo Paciência Godoy, IvÁn Area, André Ronveaux

Publication date: 4 January 2012

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

Full work available at URL: https://arxiv.org/abs/1101.2640

zbMATH Keywords

Rodrigues formulabivariate orthogonal polynomialsAppel polynomials

Mathematics Subject Classification ID

Other special orthogonal polynomials and functions (33C47) Solutions to PDEs in closed form (35C05) Hypergeometric functions associated with root systems (33C67)

Related Items

Monic bivariate polynomials on quadratic and \(q\)-quadratic lattices, Recursive computation of generalised Zernike polynomials, On a symmetric generalization of bivariate Sturm-Liouville problems, On moments of hypergeometric bivariate weight functions, Zero sets of bivariate Hermite polynomials, Some classes of special functions using Fourier transforms of some two-Variable orthogonal 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, Structure relations for the bivariate big \(q\)-Jacobi polynomials, Hypergeometric Multivariate Orthogonal Polynomials, On a class of bivariate second-order linear partial difference equations and their monic orthogonal polynomial solutions, Recurrence relations for orthogonal polynomials on triangular domains, A new family of orthogonal polynomials in three variables, Three term relations for multivariate Uvarov orthogonal polynomials

Uses Software

• Mathematica
• retode

Cites Work

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