| Yazarlar |
Prof. Dr. Ayşegül ÇETİNKAYA
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Praveen Agarwal
|
|
Ravi Agarwal
|
| Özet |
| In this paper, we present further generalizations of the beta function; Riemann-Liouville, Caputo and Kober-Erdelyi fractional operators by using confluent hypergeometric function with six parameters. We also define new generalizations of the Gauss F, Appell F-1, F-2 and Lauricella F-D(3) hypergeometric functions with the help of new beta function. Then we obtain some generating function relations for these generalized hypergeometric functions by using each generalized fractional operators, separately. One of the purposes of the present investigation is to give a chance to the reader to compare the results corresponding to each generalized fractional operators. |
| Anahtar Kelimeler |
| Beta function, Hypergeometric functions, Fractional operators, Generating functions |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | Advances in Difference Equations |
| Dergi ISSN | 1687-1847 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Makale Dili | İngilizce |
| Basım Tarihi | 12-2018 |
| Cilt No | 2018 |
| Sayfalar | 156 / |
| Doi Numarası | 10.1186/s13662-018-1612-0 |
| Makale Linki | http://dx.doi.org/10.1186/s13662-018-1612-0 |
| Atıf Sayıları |
