Subclasses of analytic functions with fixed point and associated with Janowski function

Abstract

By making use of the concept of alpha-convex functions, here we introduce certain new subclasses of analytic functions with fixed point in the unit disc E = {z ? C :| z |< 1}. The classes are defined by applying the principle of subordination. We establish the estimates for the initial coefficients of the functions belonging to the defined classes. Some relevant connections with earlier works are also mentioned.