Bivariate version of the Hahn-Sonine theorem
From MaRDI portal
Publication:4955835
DOI10.1090/S0002-9939-00-05648-3zbMath0957.42016OpenAlexW1542134334MaRDI QIDQ4955835
Publication date: 22 May 2000
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05648-3
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)
Sobolev orthogonality of polynomial solutions of second-order partial differential equations ⋮ Structure relations for monic orthogonal polynomials in two discrete variables ⋮ Matrix Pearson equations satisfied by Koornwinder weights in two variables ⋮ Weak classical orthogonal polynomials in two variables ⋮ On bivariate classical orthogonal polynomials ⋮ Sobolev orthogonal polynomials in two variables and second order partial differential equations ⋮ A matrix Rodrigues formula for classical orthogonal polynomials in two variables
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characterizations of classical orthogonal polynomials
- Partial differential equations having orthogonal polynomial solutions
- Orthogonal polynomials in two variables and second-order partial differential equations
- Über die Jacobischen Polynome und zwei verwandte Polynomklassen
- Partial differential equations and bivariate orthogonal polynomials
- Orthogonal polynomials in two variables
- Orthogonal polynomial eigenfunctions of second-order partial differerential equations
- Orthogonality and Recursion Formulas for Polynomials in n Variables
- Note on Orthogonal Polynomials inv-Variables
- On Multivariate Orthogonal Polynomials
- Another Characterization of the Classical Orthogonal Polynomials
This page was built for publication: Bivariate version of the Hahn-Sonine theorem
