Harmonic pre-Schwarzian and its applications

DOI10.1016/j.bulsci.2019.01.009zbMath1418.31003arXiv1707.01572OpenAlexW2963057160MaRDI QIDQ2414447

Yanyan Li

Publication date: 13 May 2019

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01572

zbMATH Keywords

harmonic mappingpre-Schwarzian derivative

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (6)

Stable classes of harmonic mappings ⋮ Two-point distortion theorems for harmonic mappings ⋮ Quasiconformal extensions of harmonic mappings ⋮ Lower and upper order of harmonic mappings ⋮ Integral transforms for logharmonic mappings ⋮ A new approach for the univalence of certain integral of harmonic mappings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the coefficient conjecture of Clunie and Sheil-Small on univalent harmonic mappings
• Campbell's conjecture on a majorization-subordination result for convex functions
• Uniformly locally univalent harmonic mappings associated with the pre-Schwarzian norm
• The Schwarzian derivative for harmonic mappings
• On harmonic \({\nu}\)-Bloch and \({\nu}\)-Bloch-type mappings
• Pre-schwarzian and Schwarzian derivatives of harmonic mappings
• Linear-invariante Familien analytischer Funktionen. I
• Subordination of planar harmonic functions
• Old and new order of linear invariant family of harmonic mappings and the bound for Jacobian
• ON THE SCHWARZIAN NORM OF HARMONIC MAPPINGS
• Harmonic mappings of bounded boundary rotation
• Constants for Planar Harmonic Mappings
• A proof of Campbell's subordination conjecture
• Univalent Harmonic Functions
• Majorization-Subordination Theorems for Locally Univalent Functions. III
• Harmonic univalent functions
• Precise coefficient estimates for close-to-convex harmonic univalent mappings

This page was built for publication: Harmonic pre-Schwarzian and its applications