| Autor: |
Kumawat, Shilpa, Saxena, Hemlata, Chopra, Purnima |
| Zdroj: |
South East Asian Journal of Mathematics & Mathematical Sciences; Aug2023, Vol. 19 Issue 2, p137-155, 19p |
| Abstrakt: |
Our aim is to obtain certain image formulas of the p-extended Mittag-Leffler function Eα,β,pγ(z) by using Saigo's hypergeometric fractional integral and differential operators. Corresponding assertions for the classical Riemann-Liouville (R-L) and Erdélyi-Kober (E-K) fractional integral and differential operators are established. All the results are represented in terms of the Hadamard product of the p-extended Mittag-Leffler function Eα,β,pγ(z) and Fox-Wright function rΨs(z). We also established Jacobi and its particular assertions for the Gegenbauer and Legendre transforms of the p-extended Mittag-Leffler function Eα,β,pγ(z). [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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