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| 摘要: |
| 本文研究了亚纯函数正规族，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 Carath\"{e}odory、 Grahl-Nevo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: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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| MONTEL"S CRITERION AND BLOCH-VALIRON"S THEOREM CONCERNING WANDERING FUNCTIONS |
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Wang Guangsheng,Xu Yan
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| Abstract: |
| In this paper, 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 Carath\"{e}odory, and Grahl-Nevo et al.. |
| Key words: Meromorphic function Normal family Montel"s criterion Bloch-Valiron"s theorem wandering multiple function. |
