[Estimation des coefficients d'une classe de fonctions analytiques, bi-univalentes, définie par dérivation fractionnaire]
Nous introduisons et étudions une classe de fonctions analytiques, bi-univalentes, dans le disque unité, définie par une condition sur des dérivées fractionnaires. En utilisant les développements en termes de polynômes de Faber, nous obtenons des majorations des coefficients des fonctions de cette classe.
We introduce and investigate a subclass of analytic and bi-univalent functions defined by a fractional derivative operator in the open unit disk. Using the Faber polynomial expansions, we obtain upper bounds for the coefficients of functions belonging to this class.
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@article{CRMATH_2014__352_12_1005_0,
author = {Ak{\i}n, G\"ulfem and Eker, Sevtap S\"umer},
title = {Coefficient estimates for a certain class of analytic and bi-univalent functions defined by fractional derivative},
journal = {Comptes Rendus. Math\'ematique},
pages = {1005--1010},
publisher = {Elsevier},
volume = {352},
number = {12},
year = {2014},
doi = {10.1016/j.crma.2014.09.022},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2014.09.022/}
}
TY - JOUR AU - Akın, Gülfem AU - Eker, Sevtap Sümer TI - Coefficient estimates for a certain class of analytic and bi-univalent functions defined by fractional derivative JO - Comptes Rendus. Mathématique PY - 2014 SP - 1005 EP - 1010 VL - 352 IS - 12 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2014.09.022/ DO - 10.1016/j.crma.2014.09.022 LA - en ID - CRMATH_2014__352_12_1005_0 ER -
%0 Journal Article %A Akın, Gülfem %A Eker, Sevtap Sümer %T Coefficient estimates for a certain class of analytic and bi-univalent functions defined by fractional derivative %J Comptes Rendus. Mathématique %D 2014 %P 1005-1010 %V 352 %N 12 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2014.09.022/ %R 10.1016/j.crma.2014.09.022 %G en %F CRMATH_2014__352_12_1005_0
Akın, Gülfem; Eker, Sevtap Sümer. Coefficient estimates for a certain class of analytic and bi-univalent functions defined by fractional derivative. Comptes Rendus. Mathématique, Tome 352 (2014) no. 12, pp. 1005-1010. doi : 10.1016/j.crma.2014.09.022. http://www.numdam.org/articles/10.1016/j.crma.2014.09.022/
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