证明了存在一个具有2个元素的集合S1和一个具有3个元素的集合S2, 使得对任意两个非常数整函数f与g,只要满足E(Sj,f)=E(Sj,g) (j=1,2), 就有f≡g; 存在一个具有2个元素的集合S1和一个具有9个元素的集合S2,使得对任意两个非常数亚纯函数f与g, 只要满足E(Sj,f)=E(Sj,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S1, S2, S3,使得对任意两个非常数亚纯函数f与g,只要满足E(Sj,f)=E(Sj,g) (j=1, 2,3), 就有f≡g.
Abstract
We proved that there exists a set S1 with 2 elements and a set S2 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 S1 with 2 elements and a set S2 with 9 elements, such that for any two nonconstant meromorphic functions f and g satisfying E(Sj,f) = E(Sj,g) (j = 1, 2), are have f ≡ g; and there exists a set S1, S2, S3 with 1 element, 2 elements, 7 elements respectively, such that for any two nonconstant meromorphic functions f and g satisfying E(Sj,f) = E(Sj,g) (j = 1, 2, 3), we have f ≡ g.
关键词
公共值集 /
亚纯函数 /
唯一性
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Key words
shared value sets /
meromorphic functions /
uniqueness
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