| Yazarlar |
Enes Ata
|
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye |
| Özet |
| In this paper, we introduce three types of generalized special functions: beta, Gauss hypergeometric, and confluent hypergeometric, all involving two generalized M-series at their kernels. We then give several properties of these functions, such as integral representations, functional relations, summation relations, derivative formulas, transformation formulas, and double Laplace transforms. Furthermore, we obtain solutions of fractional partial differential equations involving these new generalized special functions and then we present graphs of the approximate behavior of the solutions. Also, we introduce a new generalized beta distribution and incomplete beta function. Finally, we establish relationships between the new generalized special functions and other generalized special functions found in the literature. |
| Anahtar Kelimeler |
| Beta function | Confluent hypergeometric function | Double Laplace transform | Fractional partial differential equations | Gauss hypergeometric function |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
| Dergi Adı | Computational Methods for Differential Equations |
| Dergi ISSN | 2345-3982 |
| Dergi Tarandığı Indeksler | ESCI |
| Makale Dili | Türkçe |
| Basım Tarihi | 01-2024 |
| Cilt No | 12 |
| Sayı | 1 |
| Sayfalar | 31 / 43 |
| Doi Numarası | 10.22034/cmde.2023.55800.2325 |
| Makale Linki | chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/https://cmde.tabrizu.ac.ir/article_16751_7023d19494e120b6533563352438c893.pdf |
