Partial differential equations having orthogonal polynomial solutions

DOI10.1016/S0377-0427(98)00160-5zbMath0930.35032OpenAlexW1989557458MaRDI QIDQ1298565

V. Pereyra

Publication date: 5 October 1999

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00160-5

zbMATH Keywords

Rodrigues type formulasymmetrizable operators

Mathematics Subject Classification ID

Other functions coming from differential, difference and integral equations (33E30) Other special orthogonal polynomials and functions (33C47) Solutions to PDEs in closed form (35C05)

Related Items (14)

Double ultraspherical solution of eigenvalue problems for partial differential equations ⋮ Second order partial differential equations for gradients of orthogonal polynomials in two variables ⋮ Semiclassical orthogonal polynomials in two variables ⋮ Tridiagonal operators and zeros of polynomials in two variables ⋮ New steps on Sobolev orthogonality in two variables ⋮ Orthogonal polynomials in two variables as solutions of higher order partial differential equations ⋮ Orthogonal polynomial eigenfunctions of second-order partial differerential equations ⋮ Partial differential equations and bivariate orthogonal polynomials ⋮ A semiclassical perspective on multivariate orthogonal polynomials ⋮ Weak classical orthogonal polynomials in two variables ⋮ Classical orthogonal polynomials in two variables: a matrix approach ⋮ On bivariate classical orthogonal polynomials ⋮ Bivariate version of the Hahn-Sonine theorem ⋮ A matrix Rodrigues formula for classical orthogonal polynomials in two variables

Cites Work

• Classical orthogonal polynomials: A functional approach
• Orthogonal polynomials in two variables and second-order partial differential equations
• Symmetrizability of differential equations having orthogonal polynomial solutions
• Orthogonal polynomials in two variables
• On Multivariate Orthogonal Polynomials
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