Certain Properties Associated with Generalized $M$-Series using Hadamard Product

The generalized M-series is a hybrid function of gener-alized Mittag-Leffler function and generalized hypergeometric func-tion. The principal aim of this paper is to investigate certain prop-erties resembling those of the Mittag-Leffler and Hypergeometric functions including various differential and integral formulas asso-ciated with generalized M-series. Certain corollaries involving the generalized hypergeometric function are also discussed. Further, in view of Hadamard product of two analytic functions, we have represented our main findings in Hadamard product of two known functions.