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数学学报 2011, 54(4) 623-632 DOI: ISSN: 0583-1431 CN: 11-2038/O1

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	亚纯函数
	Nevanlinna理论
	唯一性定理
	本文作者相关文章

圆环内亚纯函数分担IM集合的唯一性定理

曹廷彬, 仪洪勋

1. 南昌大学数学系南昌 330031;
2. 山东大学数学科学学院济南 250100

摘要：研究圆环内亚纯函数唯一性问题, 获得了两个关于亚纯函数分担集合的一般性的唯一定理,从中得到了Nevanlinna五值定理的一个类似结果.

关键词：亚纯函数 Nevanlinna理论唯一性定理

MSC2000 O174.5

Uniqueness Theorems of Meromorphic Functions Sharing Sets IM on Annuli

Ting Bin CAO, Hong Xun YI

1. Department of Mathematics, Nanchang University, Nanchang 330031, P. R. China;
2. Department of Mathematics, Shandong University, Ji’nan 250100, P. R. China

Abstract: The main purpose of this paper is to deal with the uniqueness problem for meromorphic functions on annuli. We obtain two general uniqueness theorems of meromorphic functions sharing sets from which an analog of Nevanlinna’s famous five-value theorem is proposed.

Keywords: meromorphic function Nevanlinna theory uniqueness theorem

收稿日期 2009-01-14 修回日期 2011-03-23 网络版发布日期

DOI:

基金项目:

国家自然科学基金资助项目(10771121);江西省自然科学基金(2010GQS0139)和省教育厅青年基金(GJJ10050)

通讯作者:

作者简介:

作者Email: tbcao@ncu.edu.cn; hxyi@sdu.edu.cn

参考文献：

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