| 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. |
| 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: |
|
| NORMALITY AND THE NUMBER OF ZEROS |
|
WANG Guang-sheng1, WEI Dong-mei2, XU Yan2
|
|
1.School of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, China;2.School of Mathematics, Nanjing Normal University, Nanjing 210023, China
|
| 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. |
| Key words: Meromorphic function normal family differential polynomial zero |
