节点文献
正规定则与零点个数(英文)
NORMALITY AND THE NUMBER OF ZEROS
【摘要】 本文研究了亚纯函数族正规定则,利用文献[11]中的思想,得到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.另外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.
【Abstract】 In this paper,we study normal families of meromorphic functions.By using the idea in [11],we obtain some normality criteria for families of meromorphic functions that concern the number of 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.
【关键词】 亚纯函数;
正规族;
微分多项式;
零点;
【Key words】 Meromorphic function; normal family; differential polynomial; zero;
【Key words】 Meromorphic function; normal family; differential polynomial; zero;
【基金】 Supported by NNSF of China(11471163)
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2024年05期
- 【分类号】O174.52
- 【下载频次】14