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
收藏
页码：205 / 217
页数：13
相关论文
共 50 条
12345