Weak classical orthogonal polynomials in two variables

DOI10.1016/j.cam.2004.08.010zbMath1068.33019OpenAlexW2039353936MaRDI QIDQ1772341

Teresa E. Pérez, Miguel A. Piñar, Lidia Fernández

Publication date: 18 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.08.010

zbMATH Keywords

moment functionalPearson differential equationweak classical orthogonal polynomials

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of hypergeometric functions (33C90) Other special orthogonal polynomials and functions (33C47) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (16)

Multivariate Toda hierarchies and biorthogonal polynomials ⋮ Multivariate orthogonal polynomials and integrable systems ⋮ 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 ⋮ Sobolev orthogonality of polynomial solutions of second-order partial differential equations ⋮ On Koornwinder classical orthogonal polynomials in two variables ⋮ Structure relations for the bivariate big \(q\)-Jacobi polynomials ⋮ On differential properties for bivariate orthogonal polynomials ⋮ Three term recurrence for the evaluation of multivariate orthogonal polynomials ⋮ On bivariate classical orthogonal polynomials ⋮ A matrix Rodrigues formula for classical orthogonal polynomials in two variables ⋮ Coherent pairs of bivariate orthogonal polynomials ⋮ Bivariate orthogonal polynomials in the Lyskova class

Cites Work

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• Partial differential equations having orthogonal polynomial solutions
• Classical orthogonal polynomials: A functional approach
• Orthogonal polynomials in two variables and second-order partial differential equations
• Orthogonal polynomials in two variables
• Orthogonal polynomial eigenfunctions of second-order partial differerential equations
• The Recursion Formulas for Orthogonal Polynomials innVariables
• Orthogonality and Recursion Formulas for Polynomials in n Variables
• Bivariate version of the Hahn-Sonine theorem
• On Multivariate Orthogonal Polynomials

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