Further generalizations of Gamma, Beta and related functions
Yazarlar (5)
Kırıkkale Üniversitesi, Türkiye
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Ayşegül ÇETİNKAYA
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS | ||
| Dergi ISSN | 2217-4303 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | ESCI: Emerging Sources Citation Index | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2018 |
| Cilt / Sayı / Sayfa | 9 / 4 / 1–7 | DOI | – |
| Özet |
| In this paper, we present further generalizations of gamma and beta functions by adding extra parameters to their integral representations. Then we introduce new generalizations of hypergeometric and confluent hypergeometric functions by using new beta function. We also obtain many interesting properties such as integral transforms, differentiation formulas, Mellin transforms, transformation formulas, differential and difference relations and a summation formula. |
| Anahtar Kelimeler |
| Hypergeometric function | Gamma and Beta functions | Integral representations | Mellin transforms | Difference operator | Summation formula |
