Initial coefficient bounds for certain new subclasses of bi-univalent functions with bounded boundary rotation

In the current article, we introduced new subclasses of bi-univalent functions associated with bounded boundary rotation. For these new classes, the authors first obtained two initial coefficient bounds. They also verified the special cases where the familiar Brannan and Clunie's conjecture wer...

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Bibliographic Details
Published inAIMS mathematics Vol. 8; no. 12; pp. 29535 - 29554
Main Authors Sharma, Prathviraj, Sivasubramanian, Srikandan, Cho, Nak Eun
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2023
Subjects
analytic
bounded boundary rotation
close-to-convex
close-to-star
coefficient estimate
univalent
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Summary:In the current article, we introduced new subclasses of bi-univalent functions associated with bounded boundary rotation. For these new classes, the authors first obtained two initial coefficient bounds. They also verified the special cases where the familiar Brannan and Clunie's conjecture were satisfied. Furthermore, the famous Fekete-Szegö inequality was obtained for the newly defined subclasses of bi-univalent functions, and some of the results improved the earlier results available in the literature.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.20231512