On close-to-convex harmonic mappings

DOI10.1080/17476933.2011.647002zbMath1277.31005OpenAlexW2090652187MaRDI QIDQ2855431

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Publication date: 25 October 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.647002

zbMATH Keywords

convex functionsclose-to-convex functionsplanar harmonic mappings

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Two-dimensional potential theory (31A99)

Related Items (16)

Radius properties of harmonic mappings with fixed analytic part ⋮ Injectivity of harmonic mappings with fixed analytic part ⋮ Landau-Bloch type theorem for elliptic and quasiregular harmonic mappings ⋮ On the geometric properties of the Poisson kernel for the Lamé equation ⋮ On a subclass of harmonic close-to-convex mappings ⋮ The radii of fully starlikeness and fully convexity of a harmonic operator ⋮ Constants and characterization for certain classes of univalent harmonic mappings ⋮ On third Hankel determinants for subclasses of analytic functions and close-to-convex harmonic mappings ⋮ Convolutions of harmonic functions with certain dilatations ⋮ On a subclass of close-to-convex harmonic mappings ⋮ Unnamed Item ⋮ On certain harmonic mappings with some fixed coefficients ⋮ Some basic properties of certain subclass of harmonic univalent functions ⋮ On a problem of Bharanedhar and Ponnusamy involving planar harmonic mappings ⋮ ON SOME SUBCLASSES OF HARMONIC MAPPINGS ⋮ On a subclass of close-to-convex harmonic mappings

Cites Work

• Close-to-convexity criteria for planar harmonic mappings
• Univalent harmonic mappings and linearly connected domains
• Close-to-convex schlicht functions
• Three-cornered hat harmonic functions
• Harmonic univalent functions

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