具有3个公共值集的亚纯函数

Meromorphic Functions That Share Three Sets

讨论了一个亚纯函数唯一性问题,证明了存在一个具有5个元素的集合S,使得对于任意2个非常数亚纯函数f(z)和g(z),当E(S,f)=E(S,g),E({0},f)=E({0},g),E({∞},f)=E({∞},g)时,有f(z)≡g(z).

A problem of uniqueness of meromorphic functions is discussed, and the following theorem is proved： there exists a set S with 5 elements such that any two nonconstant meromorphic functions and satisfyingE（S,f）=E（S,g）,E（{0}f）=E（{0},g）,E（{∞}f）=E（{∞},g） must be identical.