Fractional integration of certain special functions

Abstract

We derive an Eulerian integral and a main theorem based upon the fractional integral operator associated with generalized polynomials given by Srivastava [8. 185, Eq.~(7)] and $H$-function of several complex variables given by Srivastava and Panda [11, p.271, Eq.~(4.1)] which provide unification and extension of numerous results in the theory of fractional calculus of special functions in one and more variables. Certain interesting sepcial cases (known and new) have also been discussed.