Faber polynomial coefficient estimates for certain subclasses of meromorphic bi-univalent functions

Serap Bulut; Nanjundan Magesh; Vittalrao Kupparao Balaji

doi:10.1016/j.crma.2014.10.019

Complex analysis

Faber polynomial coefficient estimates for certain subclasses of meromorphic bi-univalent functions
[Estimations à l'aide des polynômes de Faber des coefficients de certaines fonctions méromorphes bi-univalentes]

Présenté par : the Editorial Board

Serap Bulut ¹ ; Nanjundan Magesh ² ; Vittalrao Kupparao Balaji ³

¹ Kocaeli University, Civil Aviation College, Arslanbey Campus, TR-41285 İzmit-Kocaeli, Turkey
² Post-Graduate and Research Department of Mathematics, Government Arts College for Men, Krishnagiri 635001, Tamilnadu, India
³ Department of Mathematics, L.N. Govt College, Ponneri, Chennai, Tamilnadu, India

Comptes Rendus. Mathématique, Volume 353 (2015) no. 2, pp. 113-116.

Résumé
Abstract

Utilisant les développements des coefficients en termes de polynômes de Faber, nous obtenons des estimations du coefficient général des éléments d'une classe de fonctions méromorphes bi-univalentes. Nous étudions aussi les bornes pour leurs coefficients initiaux. Les bornes présentées ici sont nouvelles dans leur genre.

Making use of the Faber polynomial coefficient expansions to a class of meromorphic bi-univalent functions, we obtain the general coefficient estimates for such functions and study their initial coefficient bounds. The coefficient bounds presented here are new in their own kind.

Reçu le : 2013-11-27
Accepté le : 2014-10-23
Publié le : 2014-11-24

DOI : 10.1016/j.crma.2014.10.019

Affiliations des auteurs :

Serap Bulut ¹ ; Nanjundan Magesh ² ; Vittalrao Kupparao Balaji ³

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Serap Bulut; Nanjundan Magesh; Vittalrao Kupparao Balaji. Faber polynomial coefficient estimates for certain subclasses of meromorphic bi-univalent functions. Comptes Rendus. Mathématique, Volume 353 (2015) no. 2, pp. 113-116. doi : 10.1016/j.crma.2014.10.019. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.10.019/

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