Coefficient conditions for harmonic univalent mappings and hypergeometric mappings

DOI10.1216/RMJ-2014-44-3-753zbMath1298.30001arXiv1109.0925OpenAlexW2963515662MaRDI QIDQ457937

S. V. Bharanedhar, Saminathan Ponnusamy

Publication date: 30 September 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.0925

zbMATH Keywords

harmonic functionstarlike functionGaussian hypergeometric functionscoefficient estimatesclose-to-convex function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Monogenic and polygenic functions of one complex variable (30A05)

Related Items (17)

The Bohr inequality for certain harmonic mappings ⋮ On De la Vallée Poussin means for harmonic mappings ⋮ On harmonic close-to-convex functions ⋮ Injectivity of sections of univalent harmonic mappings ⋮ Radius properties of harmonic mappings with fixed analytic part ⋮ Uniformly locally univalent harmonic mappings associated with the pre-Schwarzian norm ⋮ NOTE ON THE CONVOLUTION OF HARMONIC MAPPINGS ⋮ Constants and characterization for certain classes of univalent harmonic mappings ⋮ Characterization of univalent harmonic mappings with integer or half-integer coefficients ⋮ On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings ⋮ Disk of convexity of sections of univalent harmonic functions ⋮ On a subclass of close-to-convex harmonic mappings ⋮ Convolutions of harmonic mappings convex in one direction ⋮ 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 ⋮ Injectivity of sections of close-to-convex harmonic mappings with functions convex in one direction as analytic part

Cites Work

• Injectivity conditions in the complex plane
• Close-to-convexity criteria for planar harmonic mappings
• Harmonic univalent functions with negative coefficients
• Harmonic functions starlike in the unit disk
• Convolutions for special classes of harmonic univalent functions
• Curvature properties of planar harmonic mappings
• Construction of close-to-convex harmonic polynomials
• Extreme Points Method and Univalent Harmonic Mappings
• Harmonic univalent polynomials
• Harmonic univalent functions
• Variability regions for certain families of harmonic univalent mappings
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