Univalent harmonic mappings convex in one direction

DOI10.1007/s13324-013-0066-5zbMath1309.31004OpenAlexW2028106571MaRDI QIDQ2260491

Saminathan Ponnusamy, Anbareeswaran Sairam Kaliraj

Publication date: 10 March 2015

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-013-0066-5

zbMATH Keywords

univalent harmonic functionsconvexity in one directionstarlikeness in one direction

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)

Related Items (7)

On De la Vallée Poussin means for harmonic mappings ⋮ Convolutions of harmonic right half-plane mappings with harmonic strip mappings ⋮ Area-minimizing minimal graphs over linearly accessible domains ⋮ On directional convexity of harmonic mappings in the plane ⋮ Convex combinations of planar harmonic mappings realized through convolutions with half-strip mappings ⋮ Radius of fully starlikeness and fully convexity of harmonic linear differential operator ⋮ On a problem of Bharanedhar and Ponnusamy involving planar harmonic mappings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Injectivity conditions in the complex plane
• Close-to-convexity criteria for planar harmonic mappings
• Constants and characterization for certain classes of univalent harmonic mappings
• Characterization of univalent harmonic mappings with integer or half-integer coefficients
• Curvature properties of planar harmonic mappings
• Analytic functions convex in one direction
• Convolutions of slanted half-plane harmonic mappings
• Solution to an open problem on convolutions of harmonic mappings
• Convolutions of planar harmonic convex mappings
• Harmonic univalent functions
• Directional convexity of level lines for functions convex in a given direction
• Analytic Functions Star-Like in One Direction

This page was built for publication: Univalent harmonic mappings convex in one direction