Coefficient bounds for certain two subclasses of bi-univalent functions

Ebrahim Analouei Adegani; Nak Eun Cho; Davood Alimohammadi; Ahmad Motamednezhad; Ebrahim Analouei Adegani; Nak Eun Cho; Davood Alimohammadi; Ahmad Motamednezhad

doi:10.3934/math.2021530

AIMS Mathematics

2021, Volume 6, Issue 9: 9126-9137. doi: 10.3934/math.2021530

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Coefficient bounds for certain two subclasses of bi-univalent functions

1.
Faculty of Mathematical Sciences, Shahrood University of Technology, P.O.Box 316-36155, Shahrood, Iran
2.
Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 608-737, Republic of Korea
3.
Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran

Received: 21 January 2021 Accepted: 15 June 2021 Published: 18 June 2021
MSC : Primary: 30C45; Secondary: 30C50, 30C80

In this paper, coefficient bounds of bi-univalent functions in certain two subclasses, which are defined by subordination are estimated. Some special outcomes of the main results are also presented. Moreover, it is remarked that the given bounds improve and generalize some of the pervious results.
- univalent functions,
- bi-univalent functions,
- coefficient bounds,
- Faber polynomial expansion,
- subordination
Citation: Ebrahim Analouei Adegani, Nak Eun Cho, Davood Alimohammadi, Ahmad Motamednezhad. Coefficient bounds for certain two subclasses of bi-univalent functions[J]. AIMS Mathematics, 2021, 6(9): 9126-9137. doi: 10.3934/math.2021530

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Abstract

In this paper, coefficient bounds of bi-univalent functions in certain two subclasses, which are defined by subordination are estimated. Some special outcomes of the main results are also presented. Moreover, it is remarked that the given bounds improve and generalize some of the pervious results.

References

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