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

Abstract

In this present investigation, we introduce a certain subclass
Sq(λ;γ; h) of analytic functions which is specify in terms of a quasi-
subordination. Sharp bounds of the Fekete-szeg}o coecient for functions
belonging to the class Sq(λ;γ; h) are obtained. The results presented give
improved versions for the classes involving the quasi-subordination and
majorization.