| 代数体函数涉及重值的Borel点 |
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| 引用本文： | 甘会林,孙道椿.代数体函数涉及重值的Borel点[J].数学杂志,2007,27(5):493-498. |
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| 作者姓名： | 甘会林 孙道椿 |
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| 作者单位： | 1. 广东商学院数学与计算科学系,广东广州,510320
2. 华南师范大学数学系,广东广州,510631 |
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| 摘 要： | 研究了单位圆内代数体函数涉及重值的Borel点的存在性,利用型函数统一证明了单位圆内无穷级,有限正级和部分零级代数体函数存在涉及重值的Borel点,并对有限正级的代数体函数得到两个必要条件.
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| 关 键 词： | 代数体函数 型函数 重值 Borel点 |
| 文章编号： | 0255-7797（2007）05-0493-06 |
| 修稿时间： | 2004-11-082005-06-30 |
THE BOREL POINT FOR ALGEBROID FUNCTIONS WITH MULTIPLE VALUES |
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| GAN Hui-lin,SUN Dao-chun.THE BOREL POINT FOR ALGEBROID FUNCTIONS WITH MULTIPLE VALUES[J].Journal of Mathematics,2007,27(5):493-498. |
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| Authors: | GAN Hui-lin SUN Dao-chun |
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| Institution: | 1. Dept. of Math. and Computation Science, Guangdong University of Business Studies, Guangzhou 510320, China;2. Dept. of Math. , South China Normal University, Guangzhou 510631, China |
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| Abstract: | We study the existence of a Borel point for an algebroid function defined in the unit disk dealing with multiple values. By the type function we obtain its existence of algebroid functions of various order and two necessary conditions for algebroid functions of finite positive order. |
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| Keywords: | algebroid function type function multiple value Borel point |
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