On certain classes of biharmonic mappings defined by convolution

DOI10.1155/2012/379130zbMath1267.30037OpenAlexW2051233583WikidataQ58696464 ScholiaQ58696464MaRDI QIDQ696061

Jiaolong Chen, Xian Tao Wang

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/379130

zbMATH Keywords

convolutionbiharmonic mappings

Mathematics Subject Classification ID

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

Related Items (6)

Geometric properties of log-polyharmonic mappings ⋮ Construction and determination of univalent biharmonic mappings ⋮ On lengths, areas and Lipschitz continuity of polyharmonic mappings ⋮ Landau's theorem for polyharmonic mappings ⋮ Compositions of polyharmonic mappings ⋮ Coefficient estimates and radii problems for certain classes of polyharmonic mappings

Cites Work

• Compositions of harmonic mappings and biharmonic mappings
• Bloch constant and Landau's theorem for planar \(p\)-harmonic mappings
• Landau's theorem for certain biharmonic mappings
• Harmonic univalent functions with negative coefficients
• Harmonic functions starlike in the unit disk
• Landau's theorem for biharmonic mappings
• On some properties of solutions of the biharmonic equation
• On univalent solutions of the biharmonic equation
• ON HARMONIC UNIVALENT MAPPINGS WITH SMALL COEFFICIENTS
• Harmonic univalent functions
• Biorthogonal Series Solution of Stokes Flow Problems in Sectorial Regions
• Subclasses of harmonic mappings defined by convolution
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