Fourier transform representation of the generalized hypergeometric functions with applications to the confluent and Gauss hypergeometric functions

被引：11

作者：

Al-Lail, Mohammed H. ^{[1
]}

Qadir, Asghar ^{[1
,2
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] Natl Univ Sci & Technol, Dept Phys, Sch Nat Sci, Islamabad 12, Pakistan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 263卷

关键词：

Hypergeometric and confluent; hypergeometric functions; Generalized hypergeometric function; Kampe de Feriet function; Fourier transform; Parseval's identity; Distributional representation;

D O I：

10.1016/j.amc.2015.04.083

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a Fourier transform representation of the generalized hypergeometric functions. We then use this representation to evaluate integrals of products of two generalized hypergeometric functions. A number of integral identities for confluent and Gauss hypergeometric functions are presented. The results for Euler's gamma function are deduced as special cases. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：392 / 397

页数：6

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