Dheerandra Sachan - Department of Mathematics, St.Mary's PG College, ۴۶۴۰۰۱, Vidisha (M.P.), India.
Dinesh Kumar - Department of Applied Sciences, College of Agriculture-Jodhpur, Agriculture university Jodhpur, ۳۴۲۳۰۴, Jodhpur, (Raj.), India.
Kottakkaran Nisar - Department of Mathematics, College of d Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj, ۱۱۹۴۲, Saudi Arabia.

The generalized M-series is a hybrid function of generalized Mittag-Leffler function and generalized hypergeometric function.  The principal aim of this paper is to investigate certain properties resembling those of the Mittag-Leffler and Hypergeometric functions including various differential and integral formulas associated 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.

Beta function, Gamma function, Mittag-Leffler function, Hypergeometric Function, Generalized M-series, Hadamard product