A certain generalized Pochhammer symbol and its applications to hypergeometric functions
Yazarlar (3)
University Of Victoria, Kanada
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 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 |
Science Direct
A certain generalized Pochhammer symbol and its applications to hypergeometric functions
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 58 |
| SCOPUS | 74 |
| Google Scholar | 112 |