Some properties for certain class of analytic functions defined by convolution

Abstract

In this paper, we introduce a new class H_{T}(f,g;\alpha ,k) of analytic functions in the open unit disc U={z\in \mathbb{C}: left\vert z \right\vert <1} defined by convolution. The object of the present paper is to determine coefficient estimates, extreme points, distortion theorems, partial sums and integral means for functions belonging to the class H_{T}(f,g;\alpha ,k). We also obtain several results for the neighborhood of functions belonging to this class.