The spherical metric and univalent harmonic mappings

DOI10.1007/s00605-018-1160-4zbMath1416.31001arXiv1807.05654OpenAlexW2786753322MaRDI QIDQ1736100

Yusuf Abu Muhanna, Saminathan Ponnusamy, Rosihan Mohamed Ali

Publication date: 29 March 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05654

zbMATH Keywords

harmonic functions in the diskcoefficient esstimates

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (8)

On harmonic entire mappings ⋮ Two-point distortion theorems for harmonic mappings ⋮ On the coefficients of certain subclasses of harmonic univalent mappings with nonzero pole ⋮ On the harmonic Möbius transformations ⋮ Integral transforms for logharmonic mappings ⋮ Injectivity of sections of close-to-convex harmonic mappings with functions convex in one direction as analytic part ⋮ On the Bohr's inequality for stable mappings ⋮ Koebe type theorems and pre-Schwarzian of harmonic \(K\)-quasiconformal mappings, and their applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the coefficient conjecture of Clunie and Sheil-Small on univalent harmonic mappings
• A proof of the Bieberbach conjecture
• The boundary behaviour of harmonic univalent maps
• Harmonic maps and ideal fluid flows
• A harmonic maps approach to fluid flows
• Some inequalities for the Poincaré metric of plane domains
• Constants for Planar Harmonic Mappings
• A class of analytic functions with integral representations
• The Poincaré Metric of Plane Domains
• Bloch, BMO and harmonic univalent functions
• Harmonic univalent functions
• On the Coefficients of Subordinate Functions
• The Elliptic Modular Function and a Class of Analytic Functions First Considered by Hurwitz
• Comparing Poincaré densities

This page was built for publication: The spherical metric and univalent harmonic mappings