Bounds on Initial Coefficients for a Certain New Subclass of Bi-univalent Functions by Means of Faber Polynomial Expansions

F. Müge Sakar; S. Melike Aydoğan

doi:10.1007/s11786-019-00406-7

Bounds on Initial Coefficients for a Certain New Subclass of Bi-univalent Functions by Means of Faber Polynomial Expansions

F. Müge Sakar^*, S. Melike Aydoğan

^*Corresponding author for this work

Department of Mathematics Engineering

Batman University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we present a new subclass T_Σ(μ) of bi univalent functions belong to Σ in the open unit disc U={z:z∈Cand|z|<1}. Then, we use the concepts of Faber polynomial expansions to find upper bound for the general coefficient of such functions belongs to the defined class. Further, for the functions in this subclass we obtain bound on first three coefficients | a₂| , | a₃| and | a₄|. We hope that this paper will inspire future researchers in applying our approach to other related problems.

Original language	English
Pages (from-to)	441-447
Number of pages	7
Journal	Mathematics in Computer Science
Volume	13
Issue number	3
DOIs	https://doi.org/10.1007/s11786-019-00406-7
Publication status	Published - 1 Sept 2019

Bibliographical note

Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

Funding

The work presented here is supported by Batman University Scientific Research Project Coordination Unit. Project Number: BTUBAP-2018-IIBF-2 and by Istanbul Technical University Scientific Research Project Coordination Unit. Project Number:TGA-2018-41339. The work presented here is supported by Batman University Scientific Research Project Coordination Unit. Project Number: BTUBAP-2018-IIBF-2 and by Istanbul Technical University Scientific Research Project Coordination Unit. Project Number:TGA-2018-41339.

Funders	Funder number
Istanbul Technical University Scientific Research Project Coordination Unit
Istanbul Teknik Üniversitesi	TGA-2018-41339
Firat University Scientific Research Projects Management Unit	BTUBAP-2018-IIBF-2
Ajman University

Keywords

Analytic functions
Bi-univalent functions
Faber polynomial expansions
Univalent functions

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10.1007/s11786-019-00406-7

Cite this

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Bounds on Initial Coefficients for a Certain New Subclass of Bi-univalent Functions by Means of Faber Polynomial Expansions

Abstract

Bibliographical note

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Keywords

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