CM分担两个公共值集的亚纯函数唯一性

易斌, 李玉华

数学学报 ›› 2012 ›› Issue (2) : 363-368.

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PDF(354 KB)
数学学报 ›› 2012 ›› Issue (2) : 363-368. DOI: 10.12386/A2012sxxb0036
论文

CM分担两个公共值集的亚纯函数唯一性

    易斌1, 李玉华2
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The Uniqueness of Meromorphic Functions that Share Two Sets with CM

    Bin YI1, Yu Hua LI2
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摘要

证明了存在一个具有2个元素的集合 S1 和一个具有5个元素的集合 S2,使得对任何两个非常数亚纯函数 fg,只要满足 E(Sj,f)=E(Sj,g) (j=1,2),就有 f ≡ g.

Abstract

We proved that there exist a set S1 with 2 elements and a set S2 with 5 elements, such that for any two nonconstant meromorphic functions f and g satisfying E(Sj,f)=E(Sj,g)(j = 1,2), then fg.

关键词

公共值集 / 亚纯函数 / 唯一性

Key words

shared set / meromorphic functions / uniqueness

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易斌, 李玉华. CM分担两个公共值集的亚纯函数唯一性. 数学学报, 2012(2): 363-368 https://doi.org/10.12386/A2012sxxb0036
Bin YI, Yu Hua LI. The Uniqueness of Meromorphic Functions that Share Two Sets with CM. Acta Mathematica Sinica, Chinese Series, 2012(2): 363-368 https://doi.org/10.12386/A2012sxxb0036

参考文献

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