Classical orthogonal polynomials in two variables: a matrix approach

DOI10.1007/s11075-004-3625-xzbMath1069.42015OpenAlexW2356207438MaRDI QIDQ1776174

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

Publication date: 20 May 2005

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-004-3625-x

zbMATH Keywords

classical orthogonal polynomialsorthogonal polynomials in two variables

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 (15)

Orthogonal polynomials and diffusion operators ⋮ Second order partial differential equations for gradients of 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 ⋮ On finite classes of two-variable orthogonal polynomials ⋮ On a family of bivariate orthogonal functions ⋮ On Koornwinder classical orthogonal polynomials in two variables ⋮ Structure relations for the bivariate big \(q\)-Jacobi polynomials ⋮ On differential properties for bivariate orthogonal polynomials ⋮ Matrix Pearson equations satisfied by Koornwinder weights in two variables ⋮ A semiclassical perspective on 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

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
• Hamilton-Jacobi-Bellman equation under states constraints
• 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

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