| 代数体函数及其线性微分多项式的唯一性 |
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| 引用本文： | 黄尧,刘晓俊.代数体函数及其线性微分多项式的唯一性[J].上海理工大学学报,2019,41(5):429-432. |
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| 作者姓名： | 黄尧 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： | 利用现有的亚纯函数和代数体函数的相关结论,研究代数体函数的分担值与分支点之间的关系,得到一个代数体函数与其线性微分多项式具有公共值的唯一性定理,将关于亚纯函数与其线性微分多项式的一个唯一性定理推广到代数体函数。
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| 关 键 词： | 代数体函数 线性微分多项式 分担值 唯一性 |
| 收稿时间： | 2018/6/28 0:00:00 |
Uniqueness for Algebroid Function and its Linear Differential Polynomial |
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| HUANG Yao and LIU Xiaojun.Uniqueness for Algebroid Function and its Linear Differential Polynomial[J].Journal of University of Shanghai For Science and Technology,2019,41(5):429-432. |
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| Authors: | HUANG Yao and LIU Xiaojun |
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| Institution: | 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: | By using the existing meromorphic functions and the related conclusions about algebroid functions, the relationship between the shared value of algebroid functions and the branch points was studied. The uniqueness theorem as regards an algebroid function and its linear differential polynomial with common values was presented. So, the uniqueness theorem for meromorphic functions and its linear differential polynomial was extended to algebroid functions. |
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| Keywords: | algebroid function linear differential polynomial shared value uniqueness |
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