THE BEHAVIOR OF THE 4TH TYPE OF LAURICELLAS HYPERGEOMETRIC-SERIES IN N VARIABLES NEAR THE BOUNDARIES OF ITS CONVERGENCE REGION

被引：2

作者：

SAIGO, M ^{[1
]}

SRIVASTAVA, HM ^{[1
]}

机构：

[1] UNIV VICTORIA,DEPT MATH & STAT,VICTORIA,BC V8W 3P4,CANADA

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1994年 / 57卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1017/S1446788700037691

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For Lauricella's hypergeometric function F(D)(n) of n variables, we prove two formulas exhibiting its behaviour near the boundaries of the n-dimensional region of convergence of the multiple series defining it. Each of these results can be applied to deduce the corresponding properties of several simpler hypergeometric functions of one, two, and more variables.

引用

页码：281 / 294

页数：14