Schwarzian derivatives and some criteria for univalence in

DOI10.1080/17476930601159442zbMath1123.32010OpenAlexW2139334931MaRDI QIDQ5297069

Rodrigo Hernández Reyes

Publication date: 18 July 2007

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930601159442

zbMATH Keywords

holomorphic functionsunivalence criterionseveral complex variablesSchwarzian derivatives

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Special families of functions of several complex variables (32A17) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items

A condition for univalence in the polydisk

Cites Work

• Orbifold-uniformizing differential equations
• Univalence of holomorphic mappings
• The hyperbolic Gauss map and quasiconformal reflections.
• The Schwarzian derivative and estimates of functions analytic in the unit disc
• Canonical forms of some systems of linear partial differential equations
• Sharp Distortion Theorems Associated with the Schwarzian Derivative
• The Schwarzian derivative and schlicht functions