Properties of Normal Harmonic Mappings
Hua Deng, Saminathan Ponnusamy, Jinjing Qiao
TL;DR
This paper explores the characteristics of normal harmonic mappings, providing conditions for normality, discussing key principles, and analyzing convergence and boundary behaviors of these mappings.
Contribution
It introduces new necessary and sufficient conditions for normal harmonic mappings and examines their convergence and boundary properties.
Findings
Established conditions for normal harmonic mappings.
Analyzed convergence of sense-preserving sequences.
Showed asymptotic values and angular limits coincide.
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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Taxonomy
TopicsAnalytic and geometric function theory · Holomorphic and Operator Theory · Algebraic and Geometric Analysis