• CERTAIN UNIFIED FRACTIONAL INTEGRALS AND DERIVATIVES PERTAINING TO A PRODUCT OF SPECIAL FUNCTIONS

Abstract

Saigo and Maeda (Transform Methods and Special Functions, Varna, Bulgaria, pp. 386-400, 1996) introduced and investigated certain generalized fractional integral and derivative operators involving the Appell function F₃. Here we aim at presenting four unified fractional integral and derivative formulas of Saigo and Maeda type, which are involved in a product of Aleph functions. On account of the most general nature of functions involved herein, a large number of (known or new) results on fractional integral and derivative involving simpler functions can be obtained.