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arXiv · 2008.12939

Properties of Normal Harmonic Mappings

Hua Deng·Saminathan Ponnusamy·Jinjing Qiao
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Abstract

In this paper, we present several necessary and sufficient conditions for a harmonic mapping to be normal. Also, we discuss maximum principle and five-point theorem for normal harmonic mappings. Furthermore, we investigate the convergence of sequences for sense-preserving normal harmonic mappings and show that the asymptotic values and angular limits are identical for normal harmonic mappings.

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Hua Deng, Saminathan Ponnusamy, Jinjing Qiao. 2020-08-29. Properties of Normal Harmonic Mappings. https://arxiv.org/abs/2008.12939

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