FRACTIONAL CALCULUS OPERATORS OF THE GENERALIZED HURWITZ-LERCH ZETA FUNCTION

Abstract

In this paper, our aim is to establish certain generalized Marichev-Saigo-Maeda fractional integral and derivative formulas involving generalized p–extended Hurwitz-Lerch zeta function by using the Hadamard product (or the convolution) of two analytic functions. We then obtain their composition formulas by using fractional integral and derivative formulas and certain Integral transforms associated with Beta, Laplace and Whittaker transforms involving generalized p–extended Hurwitz-Lerch Zeta function