代数体函数的几个定理 |
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引用本文: | 谭洋.代数体函数的几个定理[J].华南师范大学学报(自然科学版),2020,52(1):100-103. |
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作者姓名: | 谭洋 |
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作者单位: | 北京师范大学珠海分校应用数学学院, 珠海 519085 |
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基金项目: | 北京师范大学珠海分校教师科研能力促进计划项目;国家自然科学基金 |
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摘 要: | 应用Nevanlinna理论, 首先,研究了代数体函数的唯一性问题, 将亚纯函数五值强化定理推广到代数体函数, 得到了3v+1值强化定理; 其次,研究了当分担值较少时2个代数体函数特征函数之间的关系, 推广了亚纯函数四值定理.
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关 键 词: | 代数体函数 唯一性 特征函数 分担值 |
收稿时间: | 2019-04-25 |
Several Theorems of Algebroid Functions |
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Institution: | School of Applied Mathematics, Beijing Normal University, Zhuhai 519085, China |
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Abstract: | The Nevanlinna theory is used, firstly, to investigate the uniqueness of algebroid functions, extend the strengthening five-valued theorem of meromorphic function to algebroid function and obtain the strengthening 3v+1-valued theorem of algebroid function and, secondly, to study the relation between the characteristic functions of two algebroid functions when they share less shared values and extend the four-valued theorem of meromorphic function. |
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