Faber polynomial coefficient bounds for a subclass of bi-univalent functions

Şahsene Altınkaya; Sibel Yalçın

doi:10.1016/j.crma.2015.09.003

Mathematical analysis/Complex analysis

Faber polynomial coefficient bounds for a subclass of bi-univalent functions

Presented by: the Editorial Board

Şahsene Altınkaya ¹; Sibel Yalçın ¹

¹ Department of Mathematics, Faculty of Arts and Science, Uludag University, Bursa, Turkey

Comptes Rendus. Mathématique, Volume 353 (2015) no. 12, pp. 1075-1080.

Abstract
Résumé

In this work, considering a general subclass of bi-univalent functions and using the Faber polynomials, we obtain coefficient expansions for functions in this class. In certain cases, our estimates improve some of those existing coefficient bounds.

Dans cet article, on considère une sous-classe de fonctions bi-univalentes ; en utilisant les développements en polynômes de Faber, on obtient les coefficients de ces développements pour les fonctions de la sous-classe considérée. Dans certains cas, les estimations sur les bornes des coefficients améliorent des résultats déjà connus.

Received: 2015-02-12
Accepted: 2015-07-31
Published online: 2015-10-31

DOI: 10.1016/j.crma.2015.09.003

Author's affiliations:

Şahsene Altınkaya ¹; Sibel Yalçın ¹

¹ Department of Mathematics, Faculty of Arts and Science, Uludag University, Bursa, Turkey

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Şahsene Altınkaya; Sibel Yalçın. Faber polynomial coefficient bounds for a subclass of bi-univalent functions. Comptes Rendus. Mathématique, Volume 353 (2015) no. 12, pp. 1075-1080. doi : 10.1016/j.crma.2015.09.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.09.003/

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