A FRACTIONAL INTEGRAL OPERATOR INVOLVING THE MITTAG-LEFFLER TYPE FUNCTION WITH FOUR PARAMETERS

Abstract

In this paper our main aim is establishing a fractional integration formula (of pathway type) involving the Mittag-Leffler type function with four parameters $_{\zeta,\eta}E_{\mu,\nu} [z]$ which is recently introduced by Garg, Sharma and Manohar [Thai J. Math. (2015)].  Some interesting special cases of the main result are also considered and shown to be connected with certain known ones.