Univalence of quotient of analytic functions

Let A denote the family of all analytic functions f in the unit disk D with the normalization f(0)=0=f′(0)-1. In this note, we mainly consider the radius of univalence of F defined by F(z)=z2/f(z), where f belongs to some subclasses of A or S, the class of univalent functions from A. The results of...

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Bibliographic Details
Published in:Applied mathematics and computation 2014-11, Vol.247, p.689-694
Main Authors: Obradović, Milutin, Ponnusamy, Saminathan
Format: Article
Language:English
Subjects:
Analytic
Analytic functions
Computation
Disks
Mathematical analysis
Mathematical models
Quotients
Radius of univalence
Univalent
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Summary:Let A denote the family of all analytic functions f in the unit disk D with the normalization f(0)=0=f′(0)-1. In this note, we mainly consider the radius of univalence of F defined by F(z)=z2/f(z), where f belongs to some subclasses of A or S, the class of univalent functions from A. The results of the present article sharpen the earlier known results.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.09.028