Coefficient estimates for certain classes of meromorphic bi-univalent functions

Samaneh G. Hamidi; T. Janani; G. Murugusundaramoorthy; Jay M. Jahangiri

doi:10.1016/j.crma.2014.01.010

Complex analysis

Coefficient estimates for certain classes of meromorphic bi-univalent functions
[Estimations des coefficients pour certaines classes de fonctions méromorphes bi-univalentes]

Présenté par : the Editorial Board

Samaneh G. Hamidi ¹ ; T. Janani ² ; G. Murugusundaramoorthy ² ; Jay M. Jahangiri ³

¹ Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur, Malaysia
² School of Advanced Sciences, VIT University, Vellore, India
³ Department of Mathematical Sciences, Kent State University, Burton, OH, USA

Comptes Rendus. Mathématique, Volume 352 (2014) no. 4, pp. 277-282.

Résumé
Abstract

Nous définissons une nouvelle classe de fonctions méromorphes bi-univalentes et utilisons des développements en polynômes de Faber pour déterminer des bornes sur les coefficients de ces fonctions. Nos résultats généralisent et améliorent certains résultats antérieurement connus. Une fonction méromorphe est dite ici être bi-univalente dans un domaine donné Δ si la fonction et sa fonction réciproques y sont toutes deux univalentes.

We define a new class of meromorphic bi-univalent functions and use the Faber polynomial expansions to determine the coefficient bounds for such functions. Our results generalize and/or improve some of the previously known results. A meromorphic function is said to be bi-univalent in a given domain Δ if both the function and its inverse map are univalent there.

Reçu le : 2013-12-25
Accepté le : 2014-01-23
Publié le : 2014-02-24

DOI : 10.1016/j.crma.2014.01.010

Affiliations des auteurs :

Samaneh G. Hamidi ¹ ; T. Janani ² ; G. Murugusundaramoorthy ² ; Jay M. Jahangiri ³

¹ Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur, Malaysia
² School of Advanced Sciences, VIT University, Vellore, India
³ Department of Mathematical Sciences, Kent State University, Burton, OH, USA

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     title = {Coefficient estimates for certain classes of meromorphic bi-univalent functions},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {277--282},
     publisher = {Elsevier},
     volume = {352},
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     year = {2014},
     doi = {10.1016/j.crma.2014.01.010},
     language = {en},
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Samaneh G. Hamidi; T. Janani; G. Murugusundaramoorthy; Jay M. Jahangiri. Coefficient estimates for certain classes of meromorphic bi-univalent functions. Comptes Rendus. Mathématique, Volume 352 (2014) no. 4, pp. 277-282. doi : 10.1016/j.crma.2014.01.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.01.010/

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