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

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2022 Turkey Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 7, pages 5,146-5,155 (issn: 2473-6988,

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Authors: Sakar, F. Muge; Akgül, Arzu;

doi: 10.3934/math.2022287

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

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Abstract

<abstract><p>In this study, by using $ q $-analogue of Noor integral operator, we present an analytic and bi-univalent functions family in $ \mathfrak{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.</p></abstract>

Country

Turkey

Related Organizations

University of Kocaeli
Turkey
Dicle University
Turkey

Keywords

faber polynomials, q-analogue of noor integral operator, QA1-939, bi-univalent functions, coefficient inequalities, Mathematics

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