Jacobi matrix differential equation, polynomial solutions, and their properties

被引：56

作者：

Defez, E ^{[1
]}

Jódar, L

Law, A

机构：

[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, E-46071 Valencia, Spain

[2] Univ Calgary, Calgary, AB, Canada

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 48卷 / 5-6期

关键词：

Jacobi matrix differential equation; Jacobi matrix polynomials; hypergeometric function; matrix functional calculus;

D O I：

10.1016/j.camwa.2004.01.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, Jacobi matrix polynomials are introduced, starting from the hypergeometric matrix function. The differential equation satisfied by them is presented. A Rodrigues' formula, orthogonality, and a three terms matrix recurrence relationship are then developed for Jacobi matrix polynomials. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：789 / 803

页数：15

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