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.
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Şahsene Altınkaya 1 ; Sibel Yalçın 1
@article{CRMATH_2015__353_12_1075_0, author = {\c{S}ahsene Alt{\i}nkaya and Sibel Yal\c{c}{\i}n}, title = {Faber polynomial coefficient bounds for a subclass of bi-univalent functions}, journal = {Comptes Rendus. Math\'ematique}, pages = {1075--1080}, publisher = {Elsevier}, volume = {353}, number = {12}, year = {2015}, doi = {10.1016/j.crma.2015.09.003}, language = {en}, }
TY - JOUR AU - Şahsene Altınkaya AU - Sibel Yalçın TI - Faber polynomial coefficient bounds for a subclass of bi-univalent functions JO - Comptes Rendus. Mathématique PY - 2015 SP - 1075 EP - 1080 VL - 353 IS - 12 PB - Elsevier DO - 10.1016/j.crma.2015.09.003 LA - en ID - CRMATH_2015__353_12_1075_0 ER -
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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