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Research Article | Open Access

On the logarithmic coefficients for some classes defined by subordination

Ebrahim Analouei Adegani1, Davood Alimohammadi2, Teodor Bulboacă3, Nak Eun Cho4( ), Mahmood Bidkham5
Faculty of Mathematical Sciences, Shahrood University of Technology, P.O.Box 316-36155, Shahrood, Iran
Department of Mathematics, Faculty of science, Arak University, Arak 38156-8-8349, Iran
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 608-737, Republic of Korea
Department of Mathematics, Semnan University, Semnan, Iran
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Abstract

The logarithmic coefficients of univalent functions play an important role in different estimates in the theory of univalent functions. In this paper, due to the significant importance of the study of these coefficients, we find the upper bounds for some expressions associated with the logarithmic coefficients of functions that belong to some classes defined by using the subordination. Moreover, we get the best upper bounds for the logarithmic coefficients of some subclasses of analytic functions defined and studied in many earlier papers.

Keywords

univalent functionsMa-Minda-type functionssubordinationlogarithmic coefficientscardioid-type functions
CLC number: 30C45, 30C50, 30C55

References

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AIMS Mathematics
Volume 8 Issue 9,
September 2023
Pages 21732-21745
DOI: 10.3934/math.20231108

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Cite this article:
Adegani EA, Alimohammadi D, Bulboacă T, et al. On the logarithmic coefficients for some classes defined by subordination. AIMS Mathematics, 2023, 8(9): 21732-21745. https://doi.org/10.3934/math.20231108

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Received: 14 April 2023
Revised: 13 June 2023
Accepted: 27 June 2023
Published: 15 September 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)