| Yazarlar |
Enes Ata
|
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye |
|
Praveen Agarwal
|
| Özet |
| In this paper, we have defined generalized gamma, beta, Gauss hypergeometric and confluent hypergeometric functions with the help of generalized M-series. Furthermore, we have obtained some properties of these functions, such as integral representations, summation formulas, and derivative formulas. Then we applied beta, Mellin, Laplace, Sumudu, Elzaki, and general integral transformations to new generalized special functions and obtained solutions of fractional differential equations containing new generalized special functions. Finally, we presented the relationship between generalized special functions in the literature and new generalized special functions. |
| Anahtar Kelimeler |
| Beta function | Confluent hypergeometric function | Fractional differential equations | Gamma function | Gauss hypergeometric function | Integral transforms |
| Bildiri Türü | Tebliğ/Bildiri |
| Bildiri Alt Türü | Özet Metin Olarak Yayımlanan Tebliğ (Uluslararası Kongre/Sempozyum) |
| Bildiri Niteliği | Alanında Hakemli Uluslararası Kongre/Sempozyum |
| Bildiri Dili | İngilizce |
| Kongre Adı | The 2nd (Hybrid) International Conference on “Orthogonal Polynomials, Special Functions and Computer Algebra: Applications in Engineering (OPSFCA-22) |
| Kongre Tarihi | 15-10-2022 / |
| Basıldığı Ülke | Hindistan |
| Basıldığı Şehir | Jaıpur |
| Atıf Sayıları | |
| SCOPUS | 1 |
| Google Scholar | 1 |
