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Comptes Rendus Mathématique
Volume 353, n° 12
pages 1075-1080 (décembre 2015)
Doi : 10.1016/j.crma.2015.09.003
Received : 12 February 2015 ;  accepted : 31 July 2015
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
 

Şahsene Altınkaya , Sibel Yalçın
 Department of Mathematics, Faculty of Arts and Science, Uludag University, Bursa, Turkey 

Abstract

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.

The full text of this article is available in PDF format.
Résumé

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.

The full text of this article is available in PDF format.


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