亚纯函数分担集合的惟一性

Uniqueness Theorems for Meromorphic Functions that Share Sets

证明了:设S1={0,-2b/3},S2={z|z^3+bz^2+d=0},S3={∞},其中b≠0且2b^3+27d≠0,对任何两个非常数亚纯函数f与g,若E^-(S i,f)=E^-(S i,g)(i=1,2,3),则f≡g,并推广了相关结论。

We proved that there exists S1={0,-2b/3},S2={z|z^3+bz^2+d=0},S3={∞},and b≠0,2b 3+27d≠0,where for any two nonconstant meromorphic functions f and g ifE^-(S i,f)=E^-(S i,g)(i=1,2,3),then f≡g;The relevant conclusions are improved.