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The Fekete Szegö Functional and Second Hankel Determinant for a Certain Sublass of Analytic Functions
Department of Statistics and Mathematical Sciences, Kwara State University, Malete, Nigeria
Department of Mathematics, University of Ilorin, Ilorin, Nigeria
- 1 Department of Statistics and Mathematical Sciences, Kwara State University, Malete, Nigeria
- 2 Department of Mathematics, University of Ilorin, Ilorin, Nigeria
Applied Mathematics·Volume 10 (2019)·Pages 1071–1078·Published 10 December 2019·DOI10.4236/am.2019.1012074
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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-Szeg ö functional and the Hankel determinant.
KeywordsAnalytic FunctionsCoefficient BoundsFekete-Szeg&#246FunctionalSalagean Differential Operator and Hankel Determinant
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