no. 1
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

Hamidi, Samaneh G.1 ; Jahangiri, Jay M.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, Tome 352 (2014) no. 1, pp. 17-20.

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 :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.11.005
Hamidi, Samaneh G. 1 ; Jahangiri, Jay M. 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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Hamidi, Samaneh G.; Jahangiri, Jay M. Faber polynomial coefficient estimates for analytic bi-close-to-convex functions. Comptes Rendus. Mathématique, Tome 352 (2014) no. 1, pp. 17-20. doi : 10.1016/j.crma.2013.11.005. http://www.numdam.org/articles/10.1016/j.crma.2013.11.005/

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