A characterization of Möbius transformations (Q5926148)
From MaRDI portal
scientific article; zbMATH DE number 1570663
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of Möbius transformations |
scientific article; zbMATH DE number 1570663 |
Statements
A characterization of Möbius transformations (English)
0 references
25 November 2001
0 references
The author gives a property that characterizes the Möbius transformations among all analytic univalent functions \(f\) defined in a planar domain \(D\) such that \(f(z)\neq 0\) for all \(z\in D\). The property involves cross-ratios and the Newton derivative (a quantity that appears in the first iteration in Newton's method).
0 references
Möbius transformations
0 references
Schwarzian derivative
0 references
Newton derivative
0 references
