MMN-4326
M-Srivastava hypergeometric functions: integral representations and solution of fractional differential equations
Enes Ata;Abstract
We introduce a new extensions of Srivastava's triple hypergeometric functions $H_{A}$, $H_{B}$ and $H_{C}$, by using an modified beta function, which given with a generalized M-series in its kernel. Also by using the same modified beta function, the new extension of Appell's hypergeometric function of the first kind is introduced. Furthermore, some integral representations of new extensions of Srivastava's triple hypergeometric functions are given. Finally, solutions of fractional differential equations involving new extensions of Srivastava's triple hypergeometric functions have been obtained.
Vol. 25 (2024), No. 1, pp. 93-108