Evaluations of certain Euler type integrals

被引：4

作者：

Khan, Subuhi ^{[1
]}

Agrawal, Babita ^{[1
]}

Pathan, M. A. ^{[1
]}

Mohammad, Fahim ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 189卷 / 02期

关键词：

euler type integrals; extended beta function; generalized hypergeometric series; generating function;

D O I：

10.1016/j.amc.2006.12.073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain the evaluations of certain Euler type integrals. Further, we establish a theorem on extended beta function and apply this to obtain evaluations of some integrals in terms of extended beta function B(alpha, beta; A). Furthermore, we derive a number of new results as applications of these evaluations. We extend also some results of this paper to the multi-variable case. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1993 / 2003

页数：11

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