Univalency of convolutions of harmonic mappings

DOI10.1016/j.amc.2014.01.162zbMath1301.31001OpenAlexW2019828171MaRDI QIDQ470787

Maria Nowak, Michael Dorff, Magdalena Wołoszkiewicz, Z. Boyd, Matthew Romney

Publication date: 13 November 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.162

zbMATH Keywords

convolutionunivalenceharmonic mappings

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

Univalency of convolutions of univalent harmonic right half-plane mappings ⋮ Convolutions of harmonic right half-plane mappings ⋮ Directional Convexity of Combinations of Harmonic Half-Plane and Strip Mappings ⋮ Convolutions of harmonic right half-plane mappings with harmonic strip mappings ⋮ ON CONVEX COMBINATIONS OF CONVEX HARMONIC MAPPINGS ⋮ ON CONVOLUTIONS OF HARMONIC UNIVALENT MAPPINGS CONVEX IN THE DIRECTION OF THE REAL AXIS ⋮ Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings ⋮ Harmonic Univalent Mappings and Minimal Graphs ⋮ Convolutions of planar harmonic strip mappings

Cites Work

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• Convolutions of harmonic convex mappings
• Convolutions of planar harmonic convex mappings
• Hadamard Products of Convex Harmonic Mappings
• Univalent Harmonic Functions
• Harmonic Mappings onto Convex Domains
• On the preservation of direction-convexity and the Goodman-Saff conjecture
• Harmonic univalent functions