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A certain generalized Pochhammer symbol and its applications to hypergeometric functions       
Yazarlar
Harı M Srıvastava
Prof. Dr. Ayşegül ÇETİNKAYA Prof. Dr. Ayşegül ÇETİNKAYA
Ahi Evran Üniversitesi, Türkiye
Prof. Dr. İsmail Onur KIYMAZ Prof. Dr. İsmail Onur KIYMAZ
Ahi Evran Üniversitesi, Türkiye
Özet
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.
Anahtar Kelimeler
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı APPLIED MATHEMATICS AND COMPUTATION
Dergi ISSN 0096-3003
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 01-2014
Cilt No 226
Sayı 1
Sayfalar 484 / 491
Doi Numarası 10.1016/j.amc.2013.10.032
Makale Linki http://linkinghub.elsevier.com/retrieve/pii/S0096300313010898