K th ROOT TRANSFORMATIONS FOR SOME SUBCLASSES OF ALPHA CONVEX FUNCTIONS

In this paper we introduce a new subclass of analytic func- tions dened through convolution. We obtain the sharp upper bounds for the coefficient functional corresponding to the k th root transforma- tion for the function f in this class. Similar problems are investigated for the inverse function and z f(z) . The results of this paper generalise the work of earlier researchers in this direction.