Compositions of harmonic mappings and biharmonic mappings

zbMath1209.30009MaRDI QIDQ617762

Saminathan Ponnusamy, Xian Tao Wang, Shao Lin Chen

Publication date: 13 January 2011

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1290608195

zbMATH Keywords

convex functionbiharmonic mappingunivalent function, harmonic mapping

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Conformal mappings of special domains (30C20)

Related Items (11)

Bi-Lipschitz continuity of quasiconformal solutions to a biharmonic Dirichlet-Neumann problem in the unit disk ⋮ Schwarz-Pick and Landau type theorems for solutions to the Dirichlet-Neumann problem in the unit disk ⋮ Harmonic Beltrami Signature: A Novel 2D Shape Representation for Object Classification ⋮ On certain geometric properties of polyharmonic mappings ⋮ The inverse of a \(\sigma (z)\)-harmonic diffeomorphism ⋮ On polyharmonic mappings ⋮ Landau's theorem for log-\(p\)-harmonic mappings ⋮ Representation formula and bi-Lipschitz continuity of solutions to inhomogeneous biharmonic Dirichlet problems in the unit disk ⋮ On certain classes of biharmonic mappings defined by convolution ⋮ One parameter family of univalent polyharmonic mappings ⋮ Compositions of polyharmonic mappings

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