The Fekete Szegö Functional and Second Hankel Determinant for a Certain Sublass of Analytic Functions

Abstract

Let S denote the class of functions that are analytic, normalized and univalent in the open unit disk E={ z: |z|<1 }. Subclasses of S are the class of starlike and convex functions denoted by S and C respectively. A new subclass of analytic functions that generalize some known subclasses of analytic functions was defined and investigated. We obtained coefficient bounds, upper estimates for the Fekete-Szegö functional and the Hankel determinant