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arXiv · 1310.6703

Injectivity and univalence of complex functions via monotonicity

Szilárd László
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Abstract

In this paper we provide sufficient conditions that ensure the monotonicity, respectively the global injectivity of an operator. Further, some new analytical conditions that assure the injectivity/univalence of a complex function of one complex variable are obtained. We also show that some classical results, such as Alexander-Noshiro-Warschawski and Wolff theorem or Mocanu theorem, are easy consequences of our results.

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Szilárd László. 2013-10-24. Injectivity and univalence of complex functions via monotonicity. https://arxiv.org/abs/1310.6703

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