Comptes Rendus
no. 11
Complex analysis
On the class of bi-univalent functions
[Sur la classe des fonctions bi-univalentes]

Présenté par : the Editorial Board

Srikandan Sivasubramanian1 ; Radhakrishnan Sivakumar1 ; Teodor Bulboacă2 ; Tirunelveli Nellaiappar Shanmugam3
1 Department of Mathematics, University College of Engineering Tindivanam, Anna University, Chennai, Tindivanam, 604 001, India
2 Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
3 Department of Mathematics, University College of Engineering, Kanchipuram, Anna University, Chennai, Kanchipuram, 631 552, India
Comptes Rendus. Mathématique, Volume 352 (2014) no. 11, pp. 895-900.

Dans une tentative de répondre à une question posée par A.W. Goodman, nous obtenons des théorèmes de surjectivité, de déformation et de croissance, ainsi qu'une estimation du rayon de convexité et de l'argument de f′(z) pour une fonction f dans la classe σ des fonctions bi-univalentes.

In an attempt to answer the question raised by A.W. Goodman, we obtain a covering theorem, a distortion theorem, a growth theorem, the radius of convexity and an argument estimate of f′(z) for functions of the class σ of bi-univalent functions.

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DOI : 10.1016/j.crma.2014.09.015
Srikandan Sivasubramanian 1 ; Radhakrishnan Sivakumar 1 ; Teodor Bulboacă 2 ; Tirunelveli Nellaiappar Shanmugam 3

1 Department of Mathematics, University College of Engineering Tindivanam, Anna University, Chennai, Tindivanam, 604 001, India
2 Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
3 Department of Mathematics, University College of Engineering, Kanchipuram, Anna University, Chennai, Kanchipuram, 631 552, India 
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Srikandan Sivasubramanian; Radhakrishnan Sivakumar; Teodor Bulboacă; Tirunelveli Nellaiappar Shanmugam. On the class of bi-univalent functions. Comptes Rendus. Mathématique, Volume 352 (2014) no. 11, pp. 895-900. doi : 10.1016/j.crma.2014.09.015. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.09.015/

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