| 代数体函数的Borel方向的判定 |
| |
| 引用本文： | 张进,陈海珠. 代数体函数的Borel方向的判定[J]. 西南师范大学学报(自然科学版), 2018, 43(6): 17-20 |
| |
| 作者姓名： | 张进 陈海珠 |
| |
| 作者单位： | 德宏师范高等专科学校数学系;德宏师范高等专科学校科研处 |
| |
| 基金项目： | 云南省教育厅科研基金项目（2015Y581）. |
| |
| 摘 要： | 讨论了复平面内代数体函数的Borel方向的判定问题.利用角域映射变换、角域Neumann球面平均覆盖次数的几何意义,以及型函数的性质,证明得到了复平面内代数体函数的级在一定范围内的Borel方向判定的几个充要条件,并给出了角域内存在Borel方向的一个判定条件,推广改进了相关文献的结论.
|
| 关 键 词： | 代数体函数 Borel方向 型函数 |
| 收稿时间： | 2017-05-14 |
On Judging Borel Direction of Algebroidal Function |
| |
| ZHANG Jin,CHEN Hai-zhu. On Judging Borel Direction of Algebroidal Function[J]. Journal of southwest china normal university(natural science edition), 2018, 43(6): 17-20 |
| |
| Authors: | ZHANG Jin CHEN Hai-zhu |
| |
| Affiliation: | 1. Department of Mathematics, De Hong Teacher College, Mangshi Yunnan 678400, China;2. Department of Scientific research, De Hong Teacher College, Mangshi Yunnan 678400, China |
| |
| Abstract: | The problem has been discussed about judging Borel direction of algebroidal function, some necessary and sufficient conditions of judging Borel direction of algebroidal function with order in certain scope has been gained, and then a judging condition about Borel direction existence in angular derivedby means of mapping transformation and geometric meaning of covering sphere average time in angular domains, and properties of type function, extending and improving conclusions of relevant literatures. |
| |
| Keywords: | algebroidal function Borel direction form function |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《西南师范大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《西南师范大学学报(自然科学版)》下载全文 |
