摘要
证明了存在一个具有2个元素的集合S_1和一个具有3个元素的集合S_2,使得对任意两个非常数整函数f与g,只要满足E(S_j,f)=E(S_j,g)(j=1,2),就有f≡g;存在一个具有2个元素的集合S_1和一个具有9个元素的集合S_2,使得对任意两个非常数亚纯函数f与g,只要满足E(S_j,f)=E(S_j,g)(j=1,2),就有f≡g;存在分别含有1个,2个,7个元素的集合S_1,S_2,S_3,使得对任意两个非常数亚纯函数f与g,只要满足E(S_j,f)=E(S_j,g)(j=1,2,3),就有f≡g.
We proved that there exists a set S_1 with 2 elements and a set S_2 with 3 elements,such that for any two nonconstant entire functions f and g satisfying E（Sj,f） = E（Sj,g）（j = 1,2）,we have f = g;and there exists a set S_1 with 2 elements and a set S_2 with 9 elements,such that for any two nonconstant meromorphic functions / and g satisfying E（Sj,f） = E（Sj,g）（j = 1,2）,are have f = g;and there exists a set S_1,S_2,S_3 with 1 element,2 elements,7 elements respectively,such that for any two nonconstant meromorphic functions / and g satisfying E（Sj,f） = E（Sj,g）（j = 1,2,3）, we have f = g.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2012年第6期1085-1094,共10页
Acta Mathematica Sinica：Chinese Series
关键词
公共值集
亚纯函数
唯一性
shared value sets
meromorphic functions
uniqueness
