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.
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页码：671 / 675
页数：5
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