An integral representation formula of the Schwarzian derivative
type: Item
instance of: scholarly article
title: An integral representation formula of the Schwarzian derivative
zbMATH Open document ID: 1021.30036
DOI: 10.1007/BF03320982
published in: Computational Methods and Function Theory
publication date: 2003-02-04T00:00:00Z
review text: Let \(f\) be a conformal map of the unit disk onto a domain bounded by a curve \(C\), which is of class \(C^{3,\delta}\), except for a finite number of corners. Under a restriction on the angles at the corners, the authors derive a formula for the Schwarzian derivative of \(f\). The formula contains an integral of the arclength derivative of the curvature of \(C\) and a sum of polar terms corresponding to the corners.
reviewed by: Dimitrios Betsakos
Mathematics Subject Classification ID: 30E20
Mathematics Subject Classification ID: 30C20
Mathematics Subject Classification ID: 30C35
zbMATH DE Number: 1833061
zbMATH Keywords: conformal map
zbMATH Keywords: Schwarzian derivative
zbMATH Keywords: curvature
zbMATH Keywords: corners
author: Martin Chuaqui
author: Christian Pommerenke
MaRDI profile type: Publication
cites work: Q5815016
cites work: Q4000499
cites work: Development of the mapping function at a corner
full work available at URL: https://doi.org/10.1007/bf03320982
OpenAlex ID: W2011612630
description: scientific article; zbMATH DE number 1833061