On uniqueness of meromorphic functions sharing finite sets (Q2702996)

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 \(f= g\).NEWLINENEWLINENEWLINENext, 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 \(\text{card }S> 20\).