Fractional calculus of the $ bar H $-function

Abstract

The subject of this paper is to derive a fractional calculus formula for $ bar H $-function due to Inayat-Hussain whose based upon generalized fractional integration and differentiation operators of arbitrary complex order involving Appell function $F_3$ due to Saigo & Meada. The results are obtained in a compact form containing the Reimann-Liouville, Eredlyi-Kober and Saigo operators of fractional calculus.