Landau's theorem for functions with logharmonic Laplacian

DOI10.1016/J.AMC.2011.12.047zbMath1250.30005OpenAlexW2041996291MaRDI QIDQ428084

Zayid Abdulhadi, Yusuf Abu Muhanna, Rosihan Mohamed Ali

Publication date: 19 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.047

zbMATH Keywords

Jacobianstarlikeunivalentharmoniclogharmonicorientation-preserving

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (1)

Univalent logharmonic mappings in the plane

Cites Work

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• On the univalence of functions with logharmonic Laplacian
• One pointed univalent logharmonic mappings
• Spirallike logharmonic mappings
• Harmonic Mappings onto Convex Domains
• Univalent Functions in H ⋅ _ H   (D)
• Bloch constants for planar harmonic mappings
• Harmonic univalent functions
• Landau and Bloch theorems for harmonic mappings
• Landau's theorem for planar harmonic mappings

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