On uniqueness of meromorphic functions sharing finite sets. (English) Zbl 0983.30013
The author considers questions which are closely related to uniqueness polynomials and uniqueness range sets for meromorphic functions. Firstly, he gives conditions for a polynomial \(P\) such that \(P(f)= cP(g)\) for any nonzero constant \(c\) and nonconstant meromorphic functions \(f\) and \(g\) implies \(f= g\).
Next, he shows some conditions on a finite set \(S\) such that \(S\) is a uniqueness range set for meromorphic functions. For instance he gives a condition in case of \(\text{card }S> 20\).
Next, he shows some conditions on a finite set \(S\) such that \(S\) is a uniqueness range set for meromorphic functions. For instance he gives a condition in case of \(\text{card }S> 20\).
Reviewer: Günter Frank (Berlin)
MSC:
30D35 | Value distribution of meromorphic functions of one complex variable, Nevanlinna theory |
30D30 | Meromorphic functions of one complex variable (general theory) |