Constants and characterization for certain classes of univalent harmonic mappings

DOI10.1007/s00009-014-0443-9zbMath1337.31004OpenAlexW2061470281MaRDI QIDQ493295

Anbareeswaran Sairam Kaliraj, Saminathan Ponnusamy

Publication date: 3 September 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-014-0443-9

zbMATH Keywords

harmonic functionsclose-to-convex functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

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Improved Bohr's inequality for locally univalent harmonic mappings ⋮ Radius of convexity of partial sums of functions in the close-to-convex family ⋮ Radius properties of harmonic mappings with fixed analytic part ⋮ Injectivity of harmonic mappings with fixed analytic part ⋮ On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings ⋮ Harmonic mappings with analytic part convex in one direction ⋮ Univalent harmonic mappings convex in one direction ⋮ Dirichlet problem, univalency and Schwarz lemma for biharmonic mappings ⋮ On a problem of Bharanedhar and Ponnusamy involving planar harmonic mappings ⋮ On a subclass of close-to-convex harmonic mappings ⋮ Some properties of certain close-to-convex harmonic mappings ⋮ Radius of convexity of partial sums of odd functions in the close-to-convex family

Cites Work

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• Analytic functions convex in one direction
• On close-to-convex harmonic mappings
• Constants for Planar Harmonic Mappings
• Harmonic univalent functions
• Variability regions for certain families of harmonic univalent mappings
• Radius of close-to-convexity and fully starlikeness of harmonic mappings
• Harmonic close-to-convex functions and minimal surfaces

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