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On some results concerning univalence criteria
by
Irinel Radomir
"Transilvania" University of Brasov, Dept. of Mathematical Analysis and Probability
A known result of univalence in Complex Analysis in Becker's univalence criterion, successively generalized by Ahlfor's, Lewandowski, Ruschewegh. Using the theory of Lowner chains, we shall obtain a sufficient condition for the analyticity and the univalence of the functions defined by an integral operator, giving in this way useful univalence criteria which contais, as particular cases, the main univalency criteria for analytic functions.
Date received: March 13, 2000
Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caet-32.