On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions

Abstract

A remarkably large number of fractional integral formulas involving the number of special functions, have been investigated by many authors. Very recently, Agarwal (National Academy Science Letters) gave some integral transform and fractional integral formulas involving the $F_p^{\left(\alpha ,\beta \right)}\left(·\right)$. In this sequel, here, we aim to establish some image formulas by applying generalized operators of the fractional integration involving Appell’s function $F_3(·)$ due to Marichev-Saigo-Maeda. Some interesting special cases of our main results are also considered.