Comptes Rendus
no. 12
Mathematical analysis/Complex analysis
Faber polynomial coefficient bounds for a subclass of bi-univalent functions
[Bornes des coefficients des développements en polynômes de Faber d'une sous-classe de fonctions bi-univalentes]

Présenté par : the Editorial Board

Şahsene Altınkaya1 ; Sibel Yalçın1
1 Department of Mathematics, Faculty of Arts and Science, Uludag University, Bursa, Turkey
Comptes Rendus. Mathématique, Volume 353 (2015) no. 12, pp. 1075-1080.

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.

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.

Reçu le :
Accepté le :
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DOI : 10.1016/j.crma.2015.09.003
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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