Partial differential equations and bivariate orthogonal polynomials

DOI10.1006/jsco.1999.0342zbMath0965.35024OpenAlexW2025400021MaRDI QIDQ1971741

Alan L. Schwartz

Publication date: 22 July 2001

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.1999.0342

zbMATH Keywords

non-Hermitian Bochner problemnormalized Jacobi polynomialssecond-order linear partial differential operators

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Linear higher-order PDEs (35G05) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (3)

A new kind of double Chebyshev polynomial approximation on unbounded domains ⋮ Partial differential equations satisfied by polynomials which have a product formula. ⋮ Bivariate version of the Hahn-Sonine theorem

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Partial differential equations having orthogonal polynomial solutions
• Orthogonal polynomials in two variables and second-order partial differential equations
• Subsets of \(\mathbb{R}\) which support hypergroups with polynomial characters
• Orthogonal polynomials in two variables
• Sidon sets and Riesz sets for some measure algebras on the disk

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