Injectivity criteria of linear combinations of harmonic quasiregular mappings

DOI10.2996/KMJ47104MaRDI QIDQ6490248

Antti H. Rasila, Jian-Feng Zhu, Unnamed Author

Publication date: 23 April 2024

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Lipschitz continuityquasiconformal mappingsharmonic mappingslinear combinationslinear connectedness

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Quasiconformal mappings in the complex plane (30C62)

Cites Work

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• Linear connectivity, Schwarz-Pick lemma and univalency criteria for planar harmonic mapping
• Linear combinations of harmonic quasiconformal mappings convex in one direction
• Univalent harmonic mappings and linearly connected domains
• A survey of properties of the convex combination of univalent functions
• The convex sum of convex functions
• Quasiconformal harmonic mappings with the convex holomorphic part
• ON CONVEX COMBINATIONS OF CONVEX HARMONIC MAPPINGS
• The Univalence of a Linear Combination of Convex Mappings

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