Some properties of gamma and beta matrix functions

被引：116

作者：

Jodar, L ^{[1
]}

Cortes, JC ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS LETTERS | 1998年 / 11卷 / 01期

关键词：

gamma matrix function; beta matrix function; simultaneous diagonalization;

D O I：

10.1016/S0893-9659(97)00139-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, conditions for matrices P,Q so that the Beta matrix function B(P,Q) satisfies B(P,Q) = B(Q,P) and B(P,Q) Gamma(P)Gamma(Q)Gamma(-1)(P + Q) are given. Counter-examples showing that hypotheses cannot be removed are also included. A limit expression for the Gamma function of a matrix is established.

引用

页码：89 / 93

页数：5