A STUDY ON THE k-GENERALIZATIONS OF SOME KNOWN FUNCTIONS AND FRACTIONAL OPERATORS
Yazarlar (3)
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Ayşegül ÇETİNKAYA
Kırşehir Ahi Evran Üniversitesi, Türkiye
Anand Int Coll Engn, Hindistan
| 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 | 01-2017 |
| Cilt / Sayı / Sayfa | 8 / 4 / 31–41 | DOI | – |
| Özet |
| In this paper, we first draw attention to the relationships between the original definitions and their k-generalizations of some known functions and fractional operators. Using these relationships, we not only easily reacquired the results which can be found in the existing literature for the k generalizations, but also show how to achieve new results with the help of known properties of the original functions and operators. We conclude our paper by observing that, since the definitions of k-generalizations are closely related to the original definitions (that is, the k = 1 case), most of the formulas and results for the k = 1 case can be translated rather trivially and simply by appropriate parameter and notational changes to hold true for the corresponding k-case. |
| Anahtar Kelimeler |
| k-Gamma function, k-Beta function, Pochhammer k-symbol, k-hypergeometric function, k-Appell hypergeometric functions, k-fractional integral |
