Yazarlar |
Harı M Srıvastava
|
Prof. Dr. Ayşegül ÇETİNKAYA
Ahi Evran Üniversitesi, Türkiye |
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 |