Classical orthogonal polynomials in two variables:: a matrix approach

被引：14

作者：

Fernández, L

Pérez, TE

Piñar, MA

机构：

[1] Univ Granada, Dept Matemat Aplicada, Granada, Spain

[2] Univ Granada, Inst Carols I Fis Teor & Computac, Granada, Spain

来源：

NUMERICAL ALGORITHMS | 2005年 / 39卷 / 1-3期

关键词：

orthogonal polynomials in two variables; classical orthogonal polynomials;

D O I：

10.1007/s11075-004-3625-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Classical orthogonal polynomials in two variables are defined as the orthogonal polynomials associated to a two-variable moment functional satisfying a matrix analogue of the Pearson differential equation. Furthermore, we characterize classical orthogonal polynomials in two variables as the polynomial solutions of a matrix second order partial differential equation.

引用

页码：131 / 142

页数：12

共 15 条

[1] On sturm-liouville polynomial systems [J].