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Abstract and Applied Analysis
Volume 2013, Article ID 404672, 7 pages
Research Article

A Connection between Basic Univalence Criteria

Department of Mathematics, Faculty of Mathematics and Computer Science, “Transilvania” University of Braşov, 500091 Braşov, Romania

Received 23 January 2013; Accepted 25 June 2013

Academic Editor: Abdelaziz Rhandi

Copyright © 2013 Horiana Tudor. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We obtain a sufficient condition for the analyticity and the univalence of a class of functions defined by an integral operator. The well-known univalence criteria of Alexander, Noshiro-Warschawski, Nehari, Goluzin, Ozaki-Nunokawa, Becker, and Lewandowski would follow upon specializing the functions and the parameters involved in the main result. The results obtained not only reduce to those earlier works, but they also extend the previous results.