Subclasses of Analytic Functions Defined by Convolution

Abstract

In this paper, we de…ne a generalized class of starlike functions de…ned by convolution with negative coe¢cients and obtain some geometric properties for this class such as coe¢cient estimates, distortion theorems, radii of close-to-convexity, starlikeness and convexity, closure theorems and extreme points. Further we obtain modi…ed Hadamard produt, for functions belonging to this class.