| 涉及小代数体函数的Milloux不等式 |
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| 引用本文： | 祝笑笑,刘晓俊. 涉及小代数体函数的Milloux不等式[J]. 上海理工大学学报, 2020, 42(1): 6-9 |
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| 作者姓名： | 祝笑笑 刘晓俊 |
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| 作者单位： | 上海理工大学理学院,上海 200093;上海理工大学理学院,上海 200093 |
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| 基金项目： | 国家自然科学基金资助项目（11401381） |
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| 摘 要： | 基于亚纯函数的Milloux不等式,考虑将有关结论推广到代数体函数。主要研究了代数体函数的Milloux不等式涉及小代数体函数的情形,其中包括小亚纯函数与小代数体函数。主要以前人的研究成果为工具,借助代数体函数的第二基本定理和小代数体函数的第二基本定理,同时结合Jensen公式,最终得到了涉及小代数体函数的Milloux不等式的结论,除此之外,还研究了关于Borel例外值个数问题。
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| 关 键 词： | Milloux不等式 小代数体函数 第二基本定理 |
| 收稿时间： | 2018-07-05 |
Milloux inequality concerning small algebroidal function |
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| ZHU xiaoxiao and LIU xiaojun. Milloux inequality concerning small algebroidal function[J]. Journal of University of Shanghai For Science and Technology, 2020, 42(1): 6-9 |
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| Authors: | ZHU xiaoxiao and LIU xiaojun |
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| Affiliation: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China and College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | Based on the Milloux inequality of meromorphic function, the conclusions related were extended to the case of algebroidal function.The Milloux inequality of algebroidal function concerning small algebroidal function as well as concerning small meromorphic function was studied. By using the second fundmental theorem of algebroidal function and small algebroidal function, and combining with the Jensen formula, conclusions about the Milloux inequality concerning small algebroidal function were obtained. Besides, the problem concerning the number of Borel exception values was also studied. |
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| Keywords: | Milloux inequality small algebroidal function second fundmental theorem |
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