Cluster points and asymptotic values of \(C^1\) and planar harmonic functions

DOI10.1007/BF03321643zbMath1148.31002arXivmath/0508624OpenAlexW2092988373MaRDI QIDQ2467673

Genevra Neumann

Publication date: 28 January 2008

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508624

zbMATH Keywords

asymptotic values\(C^1\)-functions in \(\mathbb{R}^2\)cluster set of a functioncritical set of a functionplanar harmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Geometric function theory (30C99) Polynomials, rational functions in real analysis (26C99) Functions of several variables (26B99)

Cites Work

• On the behaviour of continuous functions near infinity
• Bloch constants for planar harmonic mappings
• Valence of complex-valued planar harmonic functions
• A Complete Description of the Normal Subgroups of Genus One of the Modular Group
• Bloch’s theorem for real variables
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