Geodesic
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]

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Bulut, Serap1 ; Magesh, Nanjundan2 ; Balaji, Vittalrao Kupparao3
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, Tome 353 (2015) no. 2, pp. 113-116.

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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.

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DOI : 10.1016/j.crma.2014.10.019

Bulut, Serap 1 ; Magesh, Nanjundan 2 ; Balaji, Vittalrao Kupparao 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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Bulut, Serap; Magesh, Nanjundan; Balaji, Vittalrao Kupparao. Faber polynomial coefficient estimates for certain subclasses of meromorphic bi-univalent functions. Comptes Rendus. Mathématique, Tome 353 (2015) no. 2, pp. 113-116. doi : 10.1016/j.crma.2014.10.019. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2014.10.019/

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