Properties of Normal Harmonic Mappings
Complex Variables
2020-09-01 v1
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.
Cite
@article{arxiv.2008.12939,
title = {Properties of Normal Harmonic Mappings},
author = {Hua Deng and Saminathan Ponnusamy and Jinjing Qiao},
journal= {arXiv preprint arXiv:2008.12939},
year = {2020}
}
Comments
15 pages, one figure; To appear in Monatshefte f\"ur Mathematik