On a Subclass of Meromorphic Function Defined by New Differential Operator Involving the Mittag – Leffler Function

Abstract

In this work, we define a new differential operator with the multiplier transformation containing the Mittag - Leffler function. The multiplier transformation generates a new subclass of meromorphic function. Properties like coefficient estimates, growth and distortion, radii of starlikeness and convexity, and convex linear combination are given. Finally, the extreme points are also discussed.