| 一个无穷级数的和 |
| |
| 引用本文： | 刘伟,郝曙耀.一个无穷级数的和[J].吉林建筑工程学院学报,1996(4):35-38. |
| |
| 作者姓名： | 刘伟 郝曙耀 |
| |
| 作者单位： | [1]基础部 [2]通化建委质检站 |
| |
| 摘 要： | 由1,2 826]知，级数∑n=1∞1/n!(n/e)^nz^n(1)当z为实变量时，收敛域为-1,1]，但是在实分析中很难求出它的和。本研究（1）的更一般情形，即把z看成复变量，我们利用复分析的方法，求出（1）的和F（z)，并证明F（z)在单位圆盘│z│<1内单叶。同时，导出F（z),F′（z）的模的估计，以及其它的一些不等式。
|
| 关 键 词： | 无穷级数 级数求和 复变量 复分析 不等式 |
Sum of One Infinite Series |
| |
| Liu Wei.Sum of One Infinite Series[J].Journal of Jilin Architectural and Civil Engineering,1996(4):35-38. |
| |
| Authors: | Liu Wei |
| |
| Affiliation: | Liu Wei(Department of Basic Courses)Hao Shuyao(Quality Checking Station of Architecture and Civil Engineering Committee of Tong Hua) |
| |
| Abstract: | This paper has studied simpler form for (?) that that is z is regarded as complex variable.The method of complex analysis is used to get the sum of(1)and F(z) is testified to be simple leaf in unit round plate |z|<1, mean- while,the modular estimation of F(z)and F(z)as well as some other inequalities are derived. |
| |
| Keywords: | infinite series series sum complex variable complex analysis modular estimation inequality |
| 本文献已被 CNKI 维普 等数据库收录！ |
