On the univalence of the log-biharmonic mappings.

DOI10.1016/j.jmaa.2003.08.051zbMath1036.30007OpenAlexW2037249546MaRDI QIDQ1425139

D. Massart

Publication date: 15 March 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.08.051

zbMATH Keywords

JacobianStarlikeUnivalentBiharmonicHarmonicOrientation preserving

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (9)

Geometric properties of log-polyharmonic mappings ⋮ On the univalence of polyharmonic mappings ⋮ Landau-type theorems for p-harmonic mappings or log-p-harmonic mappings ⋮ On certain geometric properties of polyharmonic mappings ⋮ Landau's theorem for log-\(p\)-harmonic mappings ⋮ On the properties of a class of log-biharmonic functions ⋮ On some properties of solutions of the biharmonic equation ⋮ One parameter family of univalent polyharmonic mappings ⋮ Dirichlet problem, univalency and Schwarz lemma for biharmonic mappings

Cites Work

• Unnamed Item
• One pointed univalent logharmonic mappings
• Spirallike logharmonic mappings
• Univalent Functions in H ⋅ _ H   (D)
• Harmonic univalent functions
• Biorthogonal Series Solution of Stokes Flow Problems in Sectorial Regions
• Slow Viscoelastic Flow at Large Distance From an Axis of Symmetry

This page was built for publication: On the univalence of the log-biharmonic mappings.