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Properties of normal harmonic mappings
Monatshefte für Mathematik ( IF 0.9 ) Pub Date : 2020-08-30 , DOI: 10.1007/s00605-020-01459-8
Hua Deng , Saminathan Ponnusamy , Jinjing Qiao

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.

中文翻译:

正规调和映射的性质

在本文中,我们提出了调和映射为正态的几个充分必要条件。此外,我们讨论了正规调和映射的最大值原理和五点定理。此外,我们研究了保留意义的正常调和映射序列的收敛性,并表明渐近值和角度限制对于正常调和映射是相同的。
更新日期:2020-08-30
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