A semiclassical perspective on multivariate orthogonal polynomials
经典分析与常微分方程
2007-05-23 v1
摘要
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.
关键词
引用
@article{arxiv.math/0610153,
title = {A semiclassical perspective on multivariate orthogonal polynomials},
author = {M. Alvarez de Morales and L. Fernández and T. E. Pérez and M. A. Piñar},
journal= {arXiv preprint arXiv:math/0610153},
year = {2007}
}
备注
10 pages