| Yazarlar |
Recep Şahin
Kırıkkale Üniversitesi, Türkiye |
|
Oğuz Yağcı
|
Dr. Öğr. Üyesi Mehmet Baki YAĞBASAN
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Prof. Dr. Ayşegül ÇETİNKAYA
Kırşehir Ahi Evran Üniversitesi, Türkiye |
| 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 |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
| Dergi Adı | Journal of Inequalities and Special Functions |
| Dergi ISSN | 2217-4303 |
| Dergi Tarandığı Indeksler | ESCI: Emerging Sources Citation Index |
| Makale Dili | İngilizce |
| Basım Tarihi | 12-2018 |
| Cilt No | 9 |
| Sayı | 4 |
| Sayfalar | 1 / 7 |
