Covering and distortion theorems for planar harmonic univalent mappings

DOI10.1007/s00013-013-0548-6zbMath1291.30250OpenAlexW2019394632MaRDI QIDQ378886

Saminathan Ponnusamy, Xian Tao Wang, Shao Lin Chen

Publication date: 12 November 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-013-0548-6

zbMATH Keywords

covering theoremdistortion theoremharmonic univalent mapping

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Spaces of bounded analytic functions of one complex variable (30H05) Conformal mappings of special domains (30C20) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Quasiconformal mappings in the complex plane (30C62) Hardy spaces (30H10) Bloch spaces (30H30)

Related Items (2)

Distortion and covering theorems of pluriharmonic mappings ⋮ Radii of covering disks for locally univalent harmonic mappings

Cites Work

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• Properties of some classes of planar harmonic and planar biharmonic mappings
• Univalent harmonic mappings and linearly connected domains
• Curvature properties of planar harmonic mappings
• Integral means and coefficient estimates on planar harmonic mappings
• The Landau theorem and Bloch theorem for planar harmonic and pluriharmonic mappings
• Constants for Planar Harmonic Mappings
• Harmonic univalent functions
• On the locally univalent Bloch constant

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