具有兩個權分擔的公共值集的亞純函數

李進東,謝莉

(1.成都理工大學信息管理學院數學部,四川成都 610059; 2.西華師范大學數學與信息學院,四川南充 637002)

具有兩個權分擔的公共值集的亞純函數

李進東1,謝莉2

(1.成都理工大學信息管理學院數學部,四川成都 610059; 2.西華師范大學數學與信息學院,四川南充 637002)

討論了亞純函數分擔兩個集合的唯一性問題,證明了一個定理.所得結果改進了先前的一些定理,例子表明結果是精確的.

亞純函數；公共值集；唯一性

1 引言和主要結果

2 主要引理

3 定理1的證明

由此,引理2的結論(i)不成立.而根據引理4的結論,引理2的結論(iii)也不成立.所以,我們得到引理2的結論(ii).再根據引理3,我們得到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.

四川省教育廳自然科學基金(2004A-108),成都理工大學科研項目(R 230249).

李進東(1975-),碩士,研究方向：復分析.

2000M SC:30D 35