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| 亚纯函数与其导数的公共Borel方向存在性的证明 | |
| 引用本文： | 陆国安,;林道荣. 亚纯函数与其导数的公共Borel方向存在性的证明[J]. 南通工学院学报(自然科学版), 2014, 0(2): 60-62 |
| 作者姓名： | 陆国安, 林道荣 |
| 作者单位： | [1]江苏省海安县实验中学,江苏南通226600; [2]南通大学理学院,江苏南通226007 |
| 基金项目： | 基金项目：国家自然科学基金项目（41276097） |
| 摘 要： | 把有穷正级λ的亚纯函数f（z）以∞为Borel例外值看成分类条件，对f（z）不以∞为Borel例外值时，利用复分析方法得到了有穷正级数亚纯函数的Borel方向的判定定理，彻底解决了有穷正级数λ的亚纯函数与其导数必定存在公共的λ级Borel方向问题。 |
| 关 键 词： | 亚纯函数 导数 Borel方向 |
Existence Proof of Public Borel Direction of Meromorphic Function and Its Derivatives |
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| Affiliation: | LU Guoan, LIN Daorong (1. Hai＇an County Experimental Middle School, Nantong 226600, China; 2. School of Sciences, Nantong University, Nantong 226007, China) |
| Abstract: | With Borel exceptional value∞regarded as the classificational condition, on the contrary the finite positive order λ of meromorphic functions f（z） established a determinant theorem of finite positive order meromorphic func-tions by complex analysis methods, which addresses the problem that there must be λ order Borel direction of public completely in the positive order of meromorphic function and its derivatives. |
| Keywords: | meromorphic function derivatives Borel direction |
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