Slit univalent harmonic mappings

DOI10.1216/RMJ-2016-46-1-169zbMath1406.30005MaRDI QIDQ289711

Armen Grigoryan

Publication date: 31 May 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1464035858

zbMATH Keywords

univalent harmonic mappingsboundary behavior of harmonic mappings

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Uses Software

• SC Toolbox
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Cites Work

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• Univalent Harmonic Functions
• Univalent harmonic mappings II
• Schwarz-Christoffel Mapping
• Harmonic univalent functions
• UNIVALENT HARMONIC MAPPINGS INTO TWO-SLIT DOMAINS
• An existence theorem for harmonic homeomorphisms with a given range and some convergence theorems
• Harmonic mappings onto parallel slit domains
• On the non-vanishing of the Jacobian in certain one-to-one mappings

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