Upper Bounds for Fekete-Szego functions and the Second Hankel Determinant for a Class of Starlike functions

Abstract

In this work,we provide upper estimate for Fekete-Szego functional and Second Hankel determinant for the class 𝑆∗{𝑞} consisting of functions analytic in the unit disk U = {z∈ C : |z| < 1} and normalized by f (0) =𝑓′ (0) = 1 = 0 and which satisfies the subordination condition