Logarithmic Coefficients for Some Classes Defined by Subordination

Author:

Analouei Adegani Ebrahim1ORCID,Motamednezhad Ahmad1ORCID,Bulboacă Teodor2ORCID,Cho Nak Eun3ORCID

Affiliation:

1. Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood P.O. Box 316-36155, Iran

2. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania

3. Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 608-737, Republic of Korea

Abstract

In this paper, we obtain the sharp and accurate bounds for the logarithmic coefficients of some subclasses of analytic functions defined and studied in earlier works. Furthermore, we obtain the bounds of the second Hankel determinant of logarithmic coefficients for a class defined by subordination, such as the class of starlike functions S*(φ). Some applications of our results, which are extensions of those reported in earlier papers are given here as special cases. In addition, the results given can be used for other popular subclasses.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

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