A certain generalized Pochhammer symbol and its applications to hypergeometric functions

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...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics and computation 2014-01, Vol.226, p.484-491
Main Authors: Srivastava, H.M., Çetinkaya, Ayşegül, Onur Kıymaz, İ.
Format: Article
Language:English
Subjects:
Bessel
Computation
Confluent hypergeometric function
Gamma and the extended gamma functions
Gamma function
Gauss hypergeometric function
Generalized hypergeometric function
Generalized hypergeometric polynomials
Generating functions
Hypergeometric functions
Mathematical analysis
Mathematical models
modified Bessel and Macdonald functions
Pochhammer’s symbol and its generalizations
Symbols
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 rFs 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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.10.032