The Fekete-Szegö estimates for a new class of analytic functions associated with the convolution

Abstract

In the present investigation, we discuss the sharpness of the bound of the Fekete-Szego functional |a3 − µa2 2 | for the functions belonging to certain subclass Rǫ ν,Lg (ψ) of analytic functions by means of convolution. The significant and useful consequences with the relevance of this class with some known classes are also pointed out.