On the hypergeometric matrix function

被引：137

作者：

Jodar, L ^{[1
]}

Cortes, JC ^{[1
]}

机构：

[1] Univ Politecn Valencia, Dept Matemat Aplicada, E-46071 Valencia, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1998年 / 99卷 / 1-2期

关键词：

33C05; 33C25; 34A05; 15A60;

D O I：

10.1016/S0377-0427(98)00158-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the study of the hypergeometric function with matrix arguments F(A,B; C;z). Conditions for matrices A, B, C so that the series representation of the hypergeometric function be convergent for /z/ = 1 and satisfies a matrix differential equation are given. After the study of beta and gamma matrix functions, an integral representation of F(A,B; C;z) is obtained for the case where B, C and C - B are positive stable matrices with BC = CB. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：205 / 217

页数：13

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