| 张少华,吴昭君,孙道椿.代数体函数与其系数函数的Borel方向间的关系[J].数学年刊A辑,2014,35(3):299~306 |
| 代数体函数与其系数函数的Borel方向间的关系 |
| The Connection Between the Borel Direction of Algebroid Function and That of ItsCoefficient Functions |
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| DOI： |
| 中文关键词: 代数体函数, 系数函数, Borel方向 |
| 英文关键词:Algebroid function, Coefficient functions, Borel
direction |
| 基金项目:国家自然科学基金 (No.11201395) 和湖北省教育厅研究项目(No.Q20132801, No.D20132804) |
| Author Name | Affiliation | E-mail | | ZHANG Shaohua | School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, Hubei, China. | 124883680@qq.com | | WU Zhaojun | Corresponding author. School of Mathematics and Statistics, Hubei University of Science and Technology, Xianning 437100, Hubei, China. | wwzzjj52@aliyun.com | | SUN Daochun | School of Mathematics, South China Normal Univerisity, Guangzhou 510631, China. | 1457330943@qq.com |
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| 中文摘要: |
| 研究了代数体函数$w(z)$的Borel方向和确定该代数体函数的复方程
$$
A_{k}(z)w^k+A_{k-1}(z)w^{k-1}+\cdots+A_{0}(z)=0
$$
的系数函数
$A_{k}(z), A_{k-1}(z), \cdots, A_{0}(z)$
的Borel方向之间的关系. |
| 英文摘要: |
| This paper deals with the connection between the Borel direction of algebroid function $w(z)$ and that of
the coefficient functions $A_{k}(z), A_{k-1}(z), \cdots, A_{0}(z)$ of the complex equation
$A_{k}(z)w^k+A_{k-1}(z)w^{k-1}+\cdots +A_{0}(z)=0$. |
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