Faber polynomial coefficient estimates for a comprehensive subclass of analytic bi-univalent functions

Serap Bulut

doi:10.1016/j.crma.2014.04.004

Complex analysis

Faber polynomial coefficient estimates for a comprehensive subclass of analytic bi-univalent functions
[Estimations des coefficients polynômes de Faber pour une sous-classe complète de fonctions analytiques bi-univalentes]

Présenté par : the Editorial Board

Serap Bulut ¹

¹ Kocaeli University, Civil Aviation College, Arslanbey Campus, 41285 İzmit-Kocaeli, Turkey

Comptes Rendus. Mathématique, Volume 352 (2014) no. 6, pp. 479-484.

Résumé
Abstract

Dans cette Note, nous considérons une sous-classe générale de fonctions analytiques bi-univalentes, pour lesquelles nous établissons des estimations du coefficient général de Taylor–Maclaurin. Nous utilisons à cet effet des développements en polynômes de Faber. Dans certains cas, nos estimations améliorent des bornes existantes sur les coefficients de ces fonctions.

In this work, considering a general subclass of analytic bi-univalent functions, we determine estimates for the general Taylor–Maclaurin coefficients of the functions in this class. For this purpose, we use the Faber polynomial expansions. In certain cases, our estimates improve some of those existing coefficient bounds.

Reçu le : 2014-03-06
Accepté le : 2014-04-09
Publié le : 2014-05-13

DOI : 10.1016/j.crma.2014.04.004

Affiliations des auteurs :

Serap Bulut ¹

¹ Kocaeli University, Civil Aviation College, Arslanbey Campus, 41285 İzmit-Kocaeli, Turkey

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Serap Bulut. Faber polynomial coefficient estimates for a comprehensive subclass of analytic bi-univalent functions. Comptes Rendus. Mathématique, Volume 352 (2014) no. 6, pp. 479-484. doi : 10.1016/j.crma.2014.04.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.04.004/

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