Coefficient Estimate on Second Hankel Determinant of the Logarithmic Coefficients for Close-To-Convex Function Subclass with Respect to the Koebe Function

Shaharuddin Cik Soh; Daud Mohamad; Mohamad Huzaifah Mohd Dzubaidi

doi:10.11113/mjfas.v19n2.2675

Authors

Shaharuddin Cik Soh Department of Mathematics, Faculty of Computer and Mathematical Sciences, Universiti Teknologi Mara (UITM), 40450 Shah Alam, Selangor Darul Ehsan, Malaysia https://orcid.org/0000-0001-9812-5992
Daud Mohamad Department of Mathematics, Faculty of Computer and Mathematical Sciences, Universiti Teknologi Mara (UITM), 40450 Shah Alam, Selangor Darul Ehsan, Malaysia https://orcid.org/0000-0002-0324-3214
Mohamad Huzaifah Mohd Dzubaidi Department of Mathematics, Faculty of Computer and Mathematical Sciences, Universiti Teknologi Mara (UITM), 40450 Shah Alam, Selangor Darul Ehsan, Malaysia https://orcid.org/0000-0003-1931-9460

DOI:

https://doi.org/10.11113/mjfas.v19n2.2675

Keywords:

Univalent functions, analytic functions, Hankel determinant, close-to-convex functions

Abstract

Let S denote the subclass of the analytic function and univalent functions in D, where D is defined as the unit disk and having the Taylor representation form of S. In this paper, we will estimate the second Hankel determinant which the elements are the logarithmic coefficients of the class close-to-convex function with respect to the Koebe function in S

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