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arXiv · 1303.0982

Sufficient conditions for univalence of analytic functions

D. Aharonov·U. Elias
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Abstract

The article discusses criteria for univalence of analytic functions in the unit disc. Various families of analytic functions depending on real parameters are considered. A unified method for creating new sets of conditions ensuring univalence is presented. Applying this method we are able to find several families of new sharp criteria for univalence.

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D. Aharonov, U. Elias. 2013-03-05. Sufficient conditions for univalence of analytic functions. https://arxiv.org/abs/1303.0982

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