Distortion theorems associated with Schwarzian derivative for harmonic mappings

DOI10.1007/S11785-018-0836-ZzbMath1421.31003OpenAlexW2888618407MaRDI QIDQ2313053

Rodrigo Hernández, Osvaldo Venegas

Publication date: 18 July 2019

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

Full work available at URL: https://doi.org/10.1007/s11785-018-0836-z

zbMATH Keywords

Schwarzian derivativedistortion theoremsharmonic 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) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (1)

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Cites Work

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• Affine and linear invariant families of harmonic mappings
• Pre-schwarzian and Schwarzian derivatives of harmonic mappings
• Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian
• Constants for Planar Harmonic Mappings
• Sharp Distortion Theorems Associated with the Schwarzian Derivative
• On the non-vanishing of the Jacobian in certain one-to-one mappings

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