A certain generalized Pochhammer symbol and its applications to hypergeometric functions

被引：53

作者：

Srivastava, H. M. ^{[1
]}

Cetinkaya, Aysegul ^{[2
]}

Kiymaz, I. Onur ^{[2
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] Ahi Evran Univ, Dept Math, TR-40100 Kirsehir, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 226卷

关键词：

Gamma and the extended gamma functions; Pochhammer's symbol and its generalizations; Gauss hypergeometric function; Confluent hypergeometric function; Generalized hypergeometric function; Generating functions; Generalized hypergeometric polynomials; Bessel; modified Bessel and Macdonald functions; GAMMA-FUNCTIONS; BETA;

D O I：

10.1016/j.amc.2013.10.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we first introduce an interesting new generalization of the familiar Pochhammer symbol by means of a certain one-parameter family of generalized gamma functions. With the help of this new generalized Pochhammer symbol, we then introduce an extension of the generalized hypergeometric function F-r(s) with r numerator and s denominator parameters. Finally, we present a systematic study of the various fundamental properties of the class of the generalized hypergeometric functions introduced here. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：484 / 491

页数：8

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