On Certain Class of Analytic Functions Involving Linear Operators

Abstract

Invoking the Hadamard product (or convolution) , a class of univalent functions has been introduced. In the present paper we obtain necessary and sufficient conditions and some important properties for the analytic functions for its belongingness to certain class of functions. The distortion inequalities, closer theorems, radii of close-to-convexity, radii of starlikeness and radii of convexity are obtained for the same class of functions. Some properties involving Hadamard product are also obtained.