TITLE:
The Fekete Szegö Functional and Second Hankel Determinant for a Certain Sublass of Analytic Functions
AUTHORS:
Rasheed O. Ayinla, Timothy O. Opoola
KEYWORDS:
Analytic Functions, Coefficient Bounds, Fekete-Szegö Functional, Salagean Differential Operator and Hankel Determinant
JOURNAL NAME:
Applied Mathematics,
Vol.10 No.12,
December
25,
2019
ABSTRACT: Let S denote the class of functions that are analytic, normalized and univalent in the open unit disk E = {z: |z| 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.