On the coefficient of a certain class of analytic functions

Abstract

In this paper, we solve certain coefficient problems for functions of the class T(_n^α)(β) introduced in [7] by Opoola. In particular, for some index α>0 we obtain sharp bounds for the coefficients of these functions. Furthermore we give some rough estimate of the general coefficient bounds using the logarithmic coefficient approach. We also prove the analogue of the well known Fekete-Szego theorem for this class of functions