A Remark on the Fractional Integral Operators and the Image Formulas of Generalized Lommela??Wright Function

摘要

In this paper, the operators of fractional integration introduced by Marichev-Saigo-Maeda involving Appella??s function $F_3(cdot)$ are applied and several new image formulas of generalized Lommel-Wright function are established. Also, by implementing some integral transforms on the resulting formulas, few more image formulas have been presented. We can conclude that all derived results in our work generalize numerous well-known results and capable of yielding a number of applications in the theory of special functions.