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arxiv: 1303.0982 · v1 · pith:H5JTVIBKnew · submitted 2013-03-05 · 🧮 math.CV

Sufficient conditions for univalence of analytic functions

classification 🧮 math.CV
keywords univalenceanalyticfunctionsconditionscriteriafamiliesmethodable
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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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