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Sufficient conditions for univalence and quasiconformal extensions

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Abstract

In this paper, we obtain some sufficient conditions for the univalence. In particular, as special cases, our results imply certain known univalence criteria. Also, we refine the result to a quasiconformal extension criterion with the help of Becker’s method.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Letters, Kafkas University, TR-36100, Kars, Turkey

    Murat Çağlar

  2. Department of Mathematics, Faculty of Science, Atatürk University, TR-25240, Erzurum, Turkey

    Halit Orhan

Authors
  1. Murat Çağlar
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  2. Halit Orhan
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Correspondence to Murat Çağlar.

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Çağlar, M., Orhan, H. Sufficient conditions for univalence and quasiconformal extensions. Indian J Pure Appl Math 46, 41–50 (2015). https://doi.org/10.1007/s13226-015-0106-y

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  • DOI: https://doi.org/10.1007/s13226-015-0106-y

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