圆环内亚纯函数分担IM集合的唯一性定理

曹廷彬, 仪洪勋

数学学报 ›› 2011, Vol. 54 ›› Issue (4) : 623-632.

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数学学报 ›› 2011, Vol. 54 ›› Issue (4) : 623-632. DOI: 10.12386/A2011sxxb0064
论文

圆环内亚纯函数分担IM集合的唯一性定理

    曹廷彬, 仪洪勋
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Uniqueness Theorems of Meromorphic Functions Sharing Sets IM on Annuli

    Ting Bin CAO, Hong Xun YI
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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.  

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.  

关键词

亚纯函数 / Nevanlinna理论 / 唯一性定理

Key words

meromorphic function / Nevanlinna theory / uniqueness theorem

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曹廷彬, 仪洪勋. 圆环内亚纯函数分担IM集合的唯一性定理. 数学学报, 2011, 54(4): 623-632 https://doi.org/10.12386/A2011sxxb0064
Ting Bin CAO, Hong Xun YI. Uniqueness Theorems of Meromorphic Functions Sharing Sets IM on Annuli. Acta Mathematica Sinica, Chinese Series, 2011, 54(4): 623-632 https://doi.org/10.12386/A2011sxxb0064

参考文献

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基金

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)

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