The Schwarzian derivatives of harmonic functions and univalence conditions

DOI10.15393/J3.ART.2017.4230zbMath1392.30008OpenAlexW2782661403MaRDI QIDQ4565246

Sergey Yu. Graf

Publication date: 8 June 2018

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15393/j3.art.2017.4230

zbMATH Keywords

Schwarzian derivativeharmonic mappingsunivalence criteriaNehari's univalence conditions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (2)

Nehari type theorems and uniform local univalence of harmonic mappings ⋮ Planar Harmonic Mappings With a Given Jacobian

Cites Work

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• Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian
• ON THE SCHWARZIAN NORM OF HARMONIC MAPPINGS
• A Uniqueness Theorem for Beltrami Equations
• Constants for Planar Harmonic Mappings
• Harmonic univalent functions
• Locally univalent functions with locally univalent derivatives
• The Schwarzian derivative and schlicht functions
• Some Criteria of Univalence

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