| 摘要: |
| 本文研究了亚纯函数正规族, 利用文献[16]中的思想, 得到了关于wandering重函数的亚纯函数族正规定则, 由此推广与改进了著名的Montel正规定则、 Bloch-Valiron定理、及Carathéodory、 GrahlNevo等人的相关结果. |
| 关键词: 亚纯函数 正规族 Montel正规定则 Bloch-Valiron定理 wandering重函数 |
| DOI： |
| 分类号:O174.52 |
| 基金项目:Supported by NNSF of China(11471163). |
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| MONTEL’S CRITERION AND BLOCH-VALIRON’S THEOREM CONCERNING WANDERING FUNCTIONS |
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WANG Guang-sheng1, XU Yan2
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1.School of Mathematics and Physics, Nanjing Institute of Technology, Nanjing 211167, China;2.School of Mathematics, Nanjing Normal University, Nanjing 210023, China
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| Abstract: |
| In this paper, we study normal families of meromorphic functions. By using the idea in [16], we obtain some normality criteria for families of meromorphic functions concerning the wandering multiple functions, which extend and improve the well-known Montel’s criterion, Bloch-Valiron’s theorem, and the related results due to Carathéodory, and Grahl-Nevo et al.. |
| Key words: Meromorphic function Normal family Montel’s criterion Bloch-Valiron’s theorem wandering multiple function |
