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

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. Furthermo...

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Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 4; pp. 5146 - 5155
Main Authors Müge Sakar, F., Akgül, Arzu
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
bi-univalent functions
coefficient inequalities
faber polynomials
q-analogue of noor integral operator
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Summary: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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022287