Semiclassical orthogonal polynomials in two variables

DOI10.1016/j.cam.2006.10.017zbMath1132.33007OpenAlexW2067664672MaRDI QIDQ2643096

Lidia Fernández, Miguel A. Piñar, María Álvarez de Morales, Teresa E. Pérez

Publication date: 23 August 2007

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.2006.10.017

zbMATH Keywords

semiclassical orthogonal polynomialsstructure relation

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (7)

Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations ⋮ Multivariate orthogonal polynomials and integrable systems ⋮ On Koornwinder classical orthogonal polynomials in two variables ⋮ Structure relations for the bivariate big \(q\)-Jacobi polynomials ⋮ Matrix Pearson equations satisfied by Koornwinder weights in two variables ⋮ A semiclassical perspective on multivariate orthogonal polynomials ⋮ Coherent pairs of bivariate orthogonal polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Prolégomènes à l'étude des polynômes orthogonaux semi- classiques. (Preliminary remarks for the study of semi-classical orthogonal polynomials)
• Partial differential equations having orthogonal polynomial solutions
• Orthogonal polynomials in two variables and second-order partial differential equations
• Weak classical orthogonal polynomials in two variables
• Orthogonal polynomials in two variables
• The Recursion Formulas for Orthogonal Polynomials innVariables
• Orthogonality and Recursion Formulas for Polynomials in n Variables
• On Multivariate Orthogonal Polynomials

This page was built for publication: Semiclassical orthogonal polynomials in two variables