On the capacity of singularity sets admitting no exceptionally ramified meromorphic functions (Q1915556)
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: On the capacity of singularity sets admitting no exceptionally ramified meromorphic functions |
scientific article; zbMATH DE number 894120
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the capacity of singularity sets admitting no exceptionally ramified meromorphic functions |
scientific article; zbMATH DE number 894120 |
Statements
On the capacity of singularity sets admitting no exceptionally ramified meromorphic functions (English)
0 references
18 September 1996
0 references
By improving a theorem given in our previous paper [Analytic function theory of one complex variable, Pitman Res. Notes Math. Ser. 212, 123-148 (1989; Zbl 0683.30027)], we showed the existence of totally disconnected compact sets \(E\) of positive capacity such that any meromorphic function having \(E\) as its singularity set cannot be exceptionally ramified at each singularity.
0 references
singularity set
0 references
capacity
0 references
meromorphic function
0 references
0.8369042873382568
0 references
0.7596451640129089
0 references
