具有两个权分担的公共值集的亚纯函数

李进东,谢莉

(1.成都理工大学信息管理学院数学部,四川成都 610059; 2.西华师范大学数学与信息学院,四川南充 637002)

具有两个权分担的公共值集的亚纯函数

李进东1,谢莉2

(1.成都理工大学信息管理学院数学部,四川成都 610059; 2.西华师范大学数学与信息学院,四川南充 637002)

讨论了亚纯函数分担两个集合的唯一性问题,证明了一个定理.所得结果改进了先前的一些定理,例子表明结果是精确的.

亚纯函数；公共值集；唯一性

1 引言和主要结果

2 主要引理

3 定理1的证明

由此,引理2的结论(i)不成立.而根据引理4的结论,引理2的结论(iii)也不成立.所以,我们得到引理2的结论(ii).再根据引理3,我们得到f≡g.

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On the uniqueness ofm erom orphic functions that share Two sets by Weight

LIJin-dong1,XIE Li2

(1.Departm ent of Mathem atics,Chengdu University of Technology,Chengdu 610059,China; 2.College of Mathematics and Information,China West Normal University,Nanchong 637002,China)

This paper deals with the uniqueness of meromorphic functions sharing two sets and obtains a theorem that is im provem ents of form er results.M oreover,the exam p le show s that the result is sharp.

meromorphic functions,shared set,uniqueness

O174.52

A

1008-5513(2009)02-0372-05

2007-06-20.

四川省教育厅自然科学基金(2004A-108),成都理工大学科研项目(R 230249).

李进东(1975-),硕士,研究方向：复分析.

2000M SC:30D 35