S-Generalized Mittag-Leffler Function and its Certain Properties
Yazarlar (4)
Praveen Agarwal
Yabancı Kurumlar, Hindistan
Yabancı Kurumlar, Hindistan
Prof. Dr. Ayşegül ÇETİNKAYA Kırşehir Ahi Evran Üniversitesi, Türkiye
Shilpi Jain
Yabancı Kurumlar, Hindistan
Yabancı Kurumlar, Hindistan
Prof. Dr. İsmail Onur KIYMAZ Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayınlanan tam makale)
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| Dergi Adı | Mathematical Sciences and Applications E-Notes | ||
| Dergi ISSN | 2147-6268 Scopus Dergi | ||
| Dergi Tarandığı Indeksler | TR DİZİN | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2019 |
| Kabul Tarihi | 04-04-2026 | Yayınlanma Tarihi | – |
| Cilt / Sayı / Sayfa | 7 / 2 / 139–148 | DOI | – |
| Makale Linki | https://dergipark.org.tr/tr/pub/mathenot | ||
| Özet |
| In 2014, S-generalized beta function which consist of seven parameters, defined and studied by Srivastava et al. [H. M. Srivastava, P. Agarwal and S. Jain, Generating functions for the generalized Gauss hypergeometric functions, Appl. Math. Comput., 247 (2014), pp. 348-352]. In this paper, by using S-generalized beta function, we introduce a new generalization of Mittag-Leffler function. This new generalization of Mittag-Leffler function is consist of eleven parameters. We also investigate some of its certain properties such as integral representations, recurrence formulas and derivative formulas by using classical and fractional derivatives. Furthermore, we determine its Mellin, beta and Laplace integral transforms. |
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