A certain generalized Pochhammer symbol and its applications to hypergeometric functions
Yazarlar (3)
H. M. Srivastava
University Of Victoria, Kanada
University Of Victoria, Kanada
Ayşegül Çetinkaya Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. İsmail Onur KIYMAZ Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Applied Mathematics and Computation | ||
| Dergi ISSN | 0096-3003 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2014 |
| Cilt / Sayı / Sayfa | 226 / 1 / 484–491 | DOI | 10.1016/j.amc.2013.10.032 |
| Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S0096300313010898 | ||
| 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 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. © 2013 Published by Elsevier Ltd. All rights reserved. |
| Anahtar Kelimeler |
| Bessel | Confluent hypergeometric function | Gamma and the extended gamma functions | Gauss hypergeometric function | Generalized hypergeometric function | Generalized hypergeometric polynomials | Generating functions | modified Bessel and Macdonald functions | Pochhammer's symbol and its generalizations |
Science Direct
A certain generalized Pochhammer symbol and its applications to hypergeometric functions
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 58 |
| Scopus | 74 |