Orthogonal polynomials in two variables as solutions of higher order partial differential equations

被引：10

作者：

Fernandez, Lidia

Perez, Teresa E.

Pinar, Miguel A. ^{[1
]}

机构：

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

来源：

JOURNAL OF APPROXIMATION THEORY | 2011年 / 163卷 / 01期

关键词：

Orthogonal polynomials in two variables; Classical orthogonal polynomials; Partial differential equations; RECURSION FORMULAS;

D O I：

10.1016/j.jat.2009.08.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Classical orthogonal polynomials in two variables can be characterized as the polynomial solutions of a second order partial differential equation involving polynomial coefficients We study orthogonal polynomials in two variables which satisfy higher order partial differential equations In particular, fourth order partial differential equations as well as some examples are studied (C) 2009 Elsevier Inc All rights reserved

引用

页码：84 / 97

页数：14

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