A multiple integral involving zonal polynomials

被引：0

作者：

Gupta, AK ^{[1
]}

Kabe, DG

机构：

[1] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA

[2] St Marys Univ, Dept Math & Comp Sci, Halifax, NS B3H 3C3, Canada

来源：

APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 06期

关键词：

multiple integral; zonal polynomials; Gauss' matrix argument hypergeometric series; reduction of symmetric positive definite matrices;

D O I：

10.1016/S0893-9659(04)90103-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A certain multiple integral evaluated by Chikuse [1, p. 402, equation (11)] is evaluated in this paper by two different methods. The value of this integral is expressed in terms of a single matrix argument zonal polynomial unlike Chikuse [1], who expresses this value in terms of a zonal polynomial of two matrix arguments. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：671 / 675

页数：5

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