On the logarithmic coefficients for some classes defined by subordination

Ebrahim Analouei Adegani; Davood Alimohammadi; Teodor Bulboacă; Nak Eun Cho; Mahmood Bidkham; Ebrahim Analouei Adegani; Davood Alimohammadi; Teodor Bulboacă; Nak Eun Cho; Mahmood Bidkham

doi:10.3934/math.20231108

AIMS Mathematics

2023, Volume 8, Issue 9: 21732-21745. doi: 10.3934/math.20231108

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On the logarithmic coefficients for some classes defined by subordination

1.
Faculty of Mathematical Sciences, Shahrood University of Technology, P.O.Box 316-36155, Shahrood, Iran
2.
Department of Mathematics, Faculty of science, Arak University, Arak 38156-8-8349, Iran
3.
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
4.
Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 608-737, Republic of Korea
5.
Department of Mathematics, Semnan University, Semnan, Iran

Received: 14 April 2023 Revised: 13 June 2023 Accepted: 27 June 2023 Published: 10 July 2023
MSC : 30C45, 30C50, 30C55

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.
- univalent functions,
- Ma-Minda-type functions,
- subordination,
- logarithmic coefficients,
- cardioid-type functions
Citation: Ebrahim Analouei Adegani, Davood Alimohammadi, Teodor Bulboacă, Nak Eun Cho, Mahmood Bidkham. On the logarithmic coefficients for some classes defined by subordination[J]. AIMS Mathematics, 2023, 8(9): 21732-21745. doi: 10.3934/math.20231108

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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.

References

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