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

Presented by: 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.

Abstract
Résumé

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.

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.

Received: 2013-11-27
Accepted: 2014-10-23
Published online: 2014-11-24

DOI: 10.1016/j.crma.2014.10.019

Author's affiliations:

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

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     title = {Faber polynomial coefficient estimates for certain subclasses of meromorphic bi-univalent functions},
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     pages = {113--116},
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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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