ON THE GENERATING FUNCTIONS OF THE NEWLY DEFINED GENERALIZED HYPERGEOMETRIC FUNCTIONS
Yazarlar (2)
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Turkish World Mathematical Society Journal of Applied and Engineering Mathematics | ||
| Dergi ISSN | 2146-1147 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2024 |
| Cilt / Sayı / Sayfa | 14 / 1 / 64–78 | DOI | – |
| Özet |
| In this paper, we have de ned new generalizations of some hypergeometric functions and fractional operators with the help of Fox-Wright function. Then, using each of the generalized fractional operators, we derived linear and bilinear generating function relations for these functions. Finally, we have shown that the newly de ned hypergeometric functions and fractional operators can be reduced to functions and operators presented in many studies in the literature by giving special values for their parameters. |
| Anahtar Kelimeler |
| Beta function | Fox-Wright function | fractional operators | generating functions | hypergeometric functions |
