An extension of a basic univalence criterion

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Published: Dec 30, 2013
DOI: https://doi.org/10.5556/j.tkjm.44.2013.1219
Keywords:
Loewner chain analytic function integral operator univalence criteria

Main Article Content

Dorina Raducanu
Horiana Tudor
Shigeyoshi Owa

Abstract

Some sufficient conditions for univalence and quasiconformal extension of a class of functions defined by an integral operator are discussed with some examples. This condition involves two arbitrary functions $ g $ and $ h $ analytic in the unit disk. A number of well-known univalent conditions would follow upon specializing the functions and the parameters involved in our main result.

Article Details

How to Cite
Raducanu, D., Tudor, H., & Owa, S. (2013). An extension of a basic univalence criterion. Tamkang Journal of Mathematics, 44(4), 417–430. https://doi.org/10.5556/j.tkjm.44.2013.1219
Issue
Vol. 44 No. 4 (2013)
Section
Papers
Author Biographies

Dorina Raducanu

Faculty of mathematics and Computer Science, Transilvania University of Brasov, 5009, Iuliu Maniu 50, Brasov, Romania.

Horiana Tudor

Faculty of mathematics and Computer Science, Transilvania University of Brasov, 5009, Iuliu Maniu 50, Brasov, Romania.

Shigeyoshi Owa

Department ofMathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan.

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