Weakly repelling fixed points and multiply-connected wandering domains of meromorphic functions (Q854654)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Weakly repelling fixed points and multiply-connected wandering domains of meromorphic functions |
scientific article; zbMATH DE number 5077573
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weakly repelling fixed points and multiply-connected wandering domains of meromorphic functions |
scientific article; zbMATH DE number 5077573 |
Statements
Weakly repelling fixed points and multiply-connected wandering domains of meromorphic functions (English)
0 references
6 December 2006
0 references
The authors deal with the dynamics of a transcendental meromorphic function \(f(z)\) with only finitely many poles. The authors prove that if \(f(z)\) has only finitely many weakly repelling fixed-points, then there is no multiply-connected wandering domain in its Fatou set.
0 references
Fatou set
0 references
0 references
