On dependence of meromorphic functions sharing some finite sets IM
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 \(T(f_1)+\cdots+T(f_{n+1})=0\).
scientific article; zbMATH DE number 6554944