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整函数及其微分多项式分担一个多项式 被引量:1

Entire functions that share one polynomial with their linear differential polynomials
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摘要 将Bru¨ck猜想目前得到的几个结论进行了推广,研究了整函数及其微分多项式分担的一个多项式时的问题,并且得到了一个与之相关的复微分方程的解的性质.另外,还得到了一个定理,这个定理改进了一些已知的结果. In this paper,we improve some known results about Briick's conjecture. We study the problem that entire function and its linear differential polynomial share a polynomial and obtain some properties of solution of the related complex differential equation. Moreover, we get a theorem which improves some known results.
作者 张国威 陈昂
出处 《纯粹数学与应用数学》 CSCD 2012年第2期196-200,共5页 Pure and Applied Mathematics
基金 河南省教育厅重点项目(12A110002)
关键词 整函数 NEVANLINNA理论 唯一性 分担值 entire functions, Nevanlinna theory, uniqueness, share value
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参考文献7

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