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Injectivity Conditions in the Complex Plane

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Abstract

We give a survey on some recent results concerning injectivity conditions in the complex plane, which are obtained by using certain geometric properties (as starlikeness, spiralikeness, convexity, close-to-convexity). These results extend to continuously differentiable maps some well-known univalence conditions for analytic functions.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Babes-Bolyai University, Cluj-Napoca, Romania

    Petru T. Mocanu

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  1. Petru T. Mocanu
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Correspondence to Petru T. Mocanu.

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Communicated by Matti Vuorinen.

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Mocanu, P.T. Injectivity Conditions in the Complex Plane. Complex Anal. Oper. Theory 5, 759–766 (2011). https://doi.org/10.1007/s11785-010-0052-y

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  • DOI: https://doi.org/10.1007/s11785-010-0052-y

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