MEROMORPHIC FUNCTIONS SHARING TWO FINITE SETS

被引：0

作者：

林伟川

仪洪勋

机构：

[1] Department of Mathematics Fujian Normal University Fuzhou 350007

[2] China

[3] Department of Mathematics Shandong University

[4] Jinan 250100

来源：

ActaMathematicaScientia | 2007年 / 04期

基金：

中国国家自然科学基金;

关键词：

Meromorphic function; uniqueness polynomial; shared-set;

D O I：

暂无

中图分类号：

O174.5 [复分析、复变函数];

学科分类号：

070104 ;

摘要：

Let S1={∞} and S2={w: Ps（w）=0}.Ps（w） being a uniqueness poly- nomial under some restricted conditions.Then,for any given nonconstant meromorphic function f,there exist at most finitely many nonconstant meromorphic functions g such that f-1（Si）=g-1（Si）（i=1,2）,where f-1（Si） and g-1（S1）denote the pull-backs of S, considered as a divisor,namely,the inverse images of S,counted with multiplicities,by f and g respectively.

引用

页码：845 / 851

页数：7

共 18 条

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