| 无穷乘积的敛散性 |
| |
| 引用本文： | 唐敏,戴培良.无穷乘积的敛散性[J].常熟理工学院学报,2010,24(8). |
| |
| 作者姓名： | 唐敏 戴培良 |
| |
| 作者单位： | 常熟理工学院数学与统计学院,江苏常熟,215500;常熟理工学院数学与统计学院,江苏常熟,215500 |
| |
| 摘 要： | 给出了无穷乘积的定义以及无穷乘积的许多重要性质,借助于无穷级数的敛散性讨论无穷乘积的敛散性.依据级数理论以及无穷乘积与级数的关系,对正项无穷乘积的敛散性进行讨论,并给出了几种特殊的无穷乘积的收敛性判别方法.
|
| 关 键 词： | 无穷乘积 部分积 级数 收敛 |
Convergence and Divergence of Infinite Product |
| |
| TANG Min,DAI Pei-liang.Convergence and Divergence of Infinite Product[J].Journal of Changshu Institute of Technology,2010,24(8). |
| |
| Authors: | TANG Min DAI Pei-liang |
| |
| Institution: | TANG Min,DAI Pei-liang(School of Mathematics , Statistics,Changshu Institute of Technology,Changshu 215500,China) |
| |
| Abstract: | The infinite product is one part of mathematical analysis.The definition and many important properties of the infinite product are given in the paper.The paper especially discusses the convergence and divergence of infinite product with the series.It also discusses the convergence and divergence of positive infinite product with the relationship between series and infinite product.Besides,some ways are given to judge convergence of special infinite product. |
| |
| Keywords: | infinite product partial product series convergence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
