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摘要: |
本文研究了关于微分多项式零点个数的亚纯函数正规定则, 结果推广了Li, Chen等人的相关结果, 并举例说明了定理中微分多项式的系数$a(z)$零点条件的必要. |
关键词: 亚纯函数 正规族 微分多项式 零点 |
DOI: |
分类号:O174.52 |
基金项目:国家自然科学基金项目(面上项目,重点项目,重大项目) |
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NORMALITY AND THE NUMBER OF DISTINCT ZEROS |
Wang Guangsheng,Xu Yan
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Abstract: |
In this paper, we obtain some normality criteria for families of meromorphic functions that concern the number of distinct zeros of the differential polynomial, which extends the related result of Li, and Chen et al.. An example is given to show that the hypothesis on the zeros of $a(z)$ is necessary. |
Key words: Meromorphic function Normal family Differential polynomial Zero |