On the Fekete–Szegö problem for certain subclass of analytic functions

Abstract

The purpose of the present investigation is to derive several Fekete–Szegö-type coefficient inequalities for certain subclasses of normalized analytic function f (z) defined in the open unit disk. Various applications of our main results involving (for example) the operators defined using generalized fractional differential operator are also considered. Thus, as one of these applications of our result, we obtain the Fekete–Szegö-type inequality for a class of normalized analytic functions, which is defined here by means of the convolution and the fractional differential operators.