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摘要: |
本文主要研究全纯函数族的正规问题,采用Nevanlinna理论证明了一类零点个数为有限的全纯函数族在分担条件下的正规性,改进了Pang X.C.和Zalcman L.于2000年得到的亚纯函数族关于分担值的正规定则. |
关键词: 全纯函数 正规族 零点重级 |
DOI: |
分类号:O174.52 |
基金项目:国家自然科学基金(11371139). |
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NORMAL CRITERIA OF HOLOMORPHIC FUNCTIONS SHARING MEROMORPHIC FUNCTIONS |
XU Hui-hui,YE Ya-sheng
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Abstract: |
In this paper, Nevanlinna's theory is used to study the normality of a family of holomorphic functions with a finite number of zeros on the basic of the condition of sharing, which improves a result concluded by Pang X.C. and Zalcman L. in 2000. |
Key words: holomorphic functions normal family multiple zeros |