On dependence of meromorphic functions sharing some finite sets IM (Q256906)
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 dependence of meromorphic functions sharing some finite sets IM |
scientific article; zbMATH DE number 6554944
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On dependence of meromorphic functions sharing some finite sets IM |
scientific article; zbMATH DE number 6554944 |
Statements
On dependence of meromorphic functions sharing some finite sets IM (English)
0 references
11 March 2016
0 references
In connection with Nevanlinna's five-value theorem, the author shows that if \(n+1\) meromorphic functions \(f_1,\dots,f_{n+1}\) on \(\mathbb{C}\) sharing some finite sets IM (ignoring multiplicities), then there exists a Möbius transformation \(T\) such that \(T(f_1)+\cdots+T(f_{n+1})=0\).
0 references
meromorphic function
0 references
sharing sets
0 references
uniqueness theorems
0 references
Möbius transformation
0 references
