Some properties and regions of variability of affine harmonic mappings and affine biharmonic mappings

DOI10.1155/2009/834215zbMath1187.30012OpenAlexW2028870287WikidataQ58648517 ScholiaQ58648517MaRDI QIDQ963526

Xian Tao Wang, Shao Lin Chen, Saminathan Ponnusamy

Publication date: 20 April 2010

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226656

zbMATH Keywords

analytic functionbiharmonic mappingaffine harmonic mapping

Mathematics Subject Classification ID

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

Related Items (2)

General approach to regions of variability via subordination of harmonic mappings ⋮ Some properties and regions of variability of affine harmonic mappings and affine biharmonic mappings

Cites Work

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• Region of variability of two subclasses of univalent functions
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• Landau's theorem for certain biharmonic mappings
• Landau's theorem for biharmonic mappings
• On univalent solutions of the biharmonic equation
• Regions of variability for convex functions
• Ellipses, near ellipses, and harmonic Möbius transformations
• Harmonic univalent functions
• Biorthogonal Series Solution of Stokes Flow Problems in Sectorial Regions
• On the non-vanishing of the Jacobian in certain one-to-one mappings

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