Coefficient Estimate of Toeplitz Determinant for a Certain Class of Close-to-Convex Functions

Authors

DOI:

https://doi.org/10.11113/mjfas.v17n5.2128

Keywords:

Geometric Function Theory, Differential Equations

Abstract

Let S denote the class of analytic and univalent functions in D, where D is defined as unit disk, D≔{z∈C∶|z|<1}  and having the Taylor representation form of S. We will determine the estimation for the Toeplitz determinants where the elements are the Taylor coefficients of the class close-to-convex functions in S.

Author Biographies

Shaharuddin Cik Soh, Universiti Teknologi Mara (UITM)

Associate Professor, Mathematics Department.

Daud Mohamad, Universiti Teknologi Mara (UITM)

Professor, Mathematics Department.

Huzaifah Dzubaidi, Universiti Teknologi Mara (UITM)

Postgraduate Student, Mathematics Department

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Published

31-10-2021