A certain generalized Pochhammer symbol and its applications to hypergeometric functions
Yazarlar (3)
Harı M Srıvastava
Prof. Dr. Ayşegül ÇETİNKAYA 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
Kabul Tarihi 15-04-2026 Yayınlanma Tarihi
Cilt / Sayı / Sayfa 226 / 0 / 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 r F 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.
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