Valence of complex-valued planar harmonic functions

DOI10.1090/S0002-9947-04-03678-5zbMath1078.30021arXivmath/0401359MaRDI QIDQ4671896

Genevra Neumann

Publication date: 27 April 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401359

zbMATH Keywords

critical pointscluster setlight harmonic functions

Mathematics Subject Classification ID

Geometric function theory (30C99) Two-dimensional potential theory (31A99)

Related Items

Linear combinations of a class of harmonic univalent mappings ⋮ Unnamed Item ⋮ Convex decompositions and the valence of some functions ⋮ Cluster points and asymptotic values of \(C^1\) and planar harmonic functions ⋮ \(C^1\) solutions for semi-implicit systems of differential equations ⋮ Number and location of pre-images under harmonic mappings in the plane

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• Boundary correspondence and dilatation of harmonic mappings
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• On the non-vanishing of the Jacobian in certain one-to-one mappings