Faber polynomial coefficient estimates for analytic bi-close-to-convex functions

Samaneh G. Hamidi; Jay M. Jahangiri

doi:10.1016/j.crma.2013.11.005

Complex analysis

Faber polynomial coefficient estimates for analytic bi-close-to-convex functions
[Estimation des coefficients des fonctions analytiques bi-presque convexes à lʼaide des polynômes de Faber]

Présenté par : the Editorial Board

Samaneh G. Hamidi ¹ ; Jay M. Jahangiri ²

¹ Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia
² Department of Mathematical Sciences, Kent State University, Burton, OH 44021-9500, USA

Comptes Rendus. Mathématique, Volume 352 (2014) no. 1, pp. 17-20.

Résumé
Abstract

Nous exprimons les coefficients des développements de fonctions analytiques bi-presque convexes en utilisant les polynômes de Faber, et nous en déduisons des estimations de ces coefficients. Une fonction est dite bi-univalente dans un domaine si elle et son inverse sont univalentes dans ce domaine. Nous montrons également le comportement imprévisible des premiers coefficients pour des sous-classes de fonctions bi-univalentes.

Using the Faber polynomials, we obtain coefficient expansions for analytic bi-close-to-convex functions and determine coefficient estimates for such functions. We also demonstrate the unpredictable behavior of the early coefficients of subclasses of bi-univalent functions. A function is said to be bi-univalent in a domain if both the function and its inverse map are univalent there.

Reçu le : 2013-10-11
Accepté le : 2013-11-05
Publié le : 2013-11-21

DOI : 10.1016/j.crma.2013.11.005

Affiliations des auteurs :

Samaneh G. Hamidi ¹ ; Jay M. Jahangiri ²

¹ Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia
² Department of Mathematical Sciences, Kent State University, Burton, OH 44021-9500, USA

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Samaneh G. Hamidi; Jay M. Jahangiri. Faber polynomial coefficient estimates for analytic bi-close-to-convex functions. Comptes Rendus. Mathématique, Volume 352 (2014) no. 1, pp. 17-20. doi : 10.1016/j.crma.2013.11.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.11.005/

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