分担2个公共值集的亚纯函数

Uniqueness of Meromorphic Functions Sharing Two Sets

讨论了亚纯函数的唯一性问题,证明存在一个具有8个元素的集合S,使得对任意2个非常数的亚纯函数f与g,只要满足E3)(S,f)=E3)(S,g)和E({∞},f)=E({∞},g),就必有f≡g.

The uniqueness of meromorphic functions is discussed. It is proved that there exists a set S with 8 elements such that any two nonconstant meromorphic functionsand must be identical f≡ g when satisfying fand g satisfying E3）（ S,f） = E3）（ S,g） and E^-（ {∞} , ,f） = E^-（ {∞} },g）.