Fekete-Szego inequalities for certain subclass of analytic functions associated with quasi-subordination

Abstract

In this present investigation, we introduce a certain subclass $\mathcal{S}_{q}(\lambda, \gamma, h)$ of analytic functions which is specify in terms of a quasi-subordination. Sharp bounds of the Fekete-Szeg\H{o} coefficient for functions belonging to the class $\mathcal{S}_{q}(\lambda, \gamma, h)$ are obtained. The results presented give improved versions for the classes involving the quasi-subordination and majorization.