On the shears of univalent harmonic mappings

DOI10.1007/s11785-018-0855-9zbMath1477.31001OpenAlexW2896572527WikidataQ129055594 ScholiaQ129055594MaRDI QIDQ2007949

Daoud Bshouty, Abdallah Lyzzaik, F. Müge Sakar, Melike Aydoğan

Publication date: 22 November 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-018-0855-9

zbMATH Keywords

harmonic mappingsconvex domains in a 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 (3)

Stable classes of harmonic mappings ⋮ Harmonic mappings onto R-convex domains ⋮ On the coefficients of certain subclasses of harmonic univalent mappings with nonzero pole

Cites Work

• On the coefficient conjecture of Clunie and Sheil-Small on univalent harmonic mappings
• Boundary values versus dilatations of harmonic mappings
• The boundary behaviour of harmonic univalent maps
• Rotations of convex harmonic univalent mappings
• Sections of univalent harmonic mappings
• A solution to Sheil-Small’s harmonic mapping problem for polygons
• Harmonic univalent functions

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