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arXiv · 1404.4155

Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mappings

Shaolin Chen·Saminathan Ponnusamy·Antti Rasila·Xiantao Wang
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Abstract

In this paper, we first establish the Schwarz-Pick lemma of higher-order and apply it to obtain a univalency criteria for planar harmonic mappings. Then we discuss distortion theorems, Lipschitz continuity and univalency of planar harmonic mappings defined in the unit disk with linearly connected images.

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Shaolin Chen, Saminathan Ponnusamy, Antti Rasila, Xiantao Wang. 2014-04-16. Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mappings. https://arxiv.org/abs/1404.4155

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