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Research Article | Open Access

Based on a family of bi-univalent functions introduced through the Faber polynomial expansions and Noor integral operator

F. Müge Sakar1( ), Arzu Akgül2
Department of Management, Faculty of Economics and Administrative Sciences, Dicle University, Diyarbakır, Turkey
Department of Mathematics, Faculty of Arts and Science, Umuttepe Campus, Kocaeli University, Kocaeli, Turkey
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Abstract

In this study, by using q-analogue of Noor integral operator, we present an analytic and bi-univalent functions family in D . We also derive upper coefficient bounds and some important inequalities for the functions in this family by using the Faber polynomial expansions. Furthermore, some relevant corollaries are also presented.

Keywords

bi-univalent functionsFaber polynomialsq-analogue of Noor integral operatorcoefficient inequalities
CLC number: 30C45, 30C50

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 5146-5155
DOI: 10.3934/math.2022287

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Cite this article:
Müge Sakar F, Akgül A. Based on a family of bi-univalent functions introduced through the Faber polynomial expansions and Noor integral operator. AIMS Mathematics, 2022, 7(4): 5146-5155. https://doi.org/10.3934/math.2022287

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Received: 14 December 2020
Revised: 10 August 2021
Accepted: 11 August 2021
Published: 15 April 2022
©2022 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)