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. doi: 10.6054/j.jscnun.2020015
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. doi: 10.6054/j.jscnun.2020015
TAN Yang. Several Theorems of Algebroid Functions[J]. Journal of South China Normal University (Natural Science Edition), 2020, 52(1): 100-103. doi: 10.6054/j.jscnun.2020015
Citation: TAN Yang. Several Theorems of Algebroid Functions[J]. Journal of South China Normal University (Natural Science Edition), 2020, 52(1): 100-103. doi: 10.6054/j.jscnun.2020015

代数体函数的几个定理

Several Theorems of Algebroid Functions

  • 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.

     

    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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