Applied Mathematics

Volume 10, Issue 12 (December 2019)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

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

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DOI: 10.4236/am.2019.1012074    673 Downloads   1,573 Views  Citations

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.

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Ayinla, R. and Opoola, T. (2019) The Fekete Szegö Functional and Second Hankel Determinant for a Certain Sublass of Analytic Functions. Applied Mathematics, 10, 1071-1078. doi: 10.4236/am.2019.1012074.

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