A semiclassical perspective on multivariate orthogonal polynomials

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Differential properties for orthogonal polynomials in several variables are studied. We consider multivariate orthogonal polynomials whose gradients satisfy some quasi--orthogonality conditions. We obtain several characterizations for these polynomials including the analogous of the semiclassical Pearson differential equation, the structure relation and a differential--difference equation.
10 pages

Keywords

Classical Analysis and ODEs, 42C05 (Primary) 33C50 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/117830

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610153
 http://arxiv.org/abs/math/0610153

Collections

arXiv