Differential Subordination of Certain Class of Starlike Functions

Abstract

This paper presents several results concerning second and third-order differential subordination for the class ${\mathcal{S}}_e^{\ast }:=\{f\in \mathcal{A}:z{f}^{\prime }(z)/f(z)\prec e^z\}$, which represents the class of starlike functions associated with exponential function.

Updated version