| 利用留数定理计算一类实级数 |
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| 引用本文： | 张毅.利用留数定理计算一类实级数[J].河池师专学报,2009(5):11-14. |
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| 作者姓名： | 张毅 |
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| 作者单位： | 柳州城市职业学院,广西柳州545001 |
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| 基金项目： | 广西自然科学基金资助项目（桂科自0728041）. |
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| 摘 要： | 运用留数定理解决形如＋∞∑k-∞,k≠0 f（k）/k′类型的级数的求和问题,其中f（z）为在z平面上只有有限个极点的亚纯函数,且这些极点不为整数,得到＋∞∑k-∞,k≠0 f（k）/k′与留数间的一个关系式定理.
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| 关 键 词： | 留数定理 实级数 极点 亚纯函数 |
On Calculating a Class Real Series by Using Residue Theorem |
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| ZHANG Yi.On Calculating a Class Real Series by Using Residue Theorem[J].Journal of Hechi Normal College,2009(5):11-14. |
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| Authors: | ZHANG Yi |
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| Institution: | ZHANG Yi (Liuzhou City Vocational College, Liuzhou, Guangxi 545001, China) |
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| Abstract: | This article aims to solve the shape like type ＋∞∑k-∞,k≠0 f（k）/k′ progression summation problem using the theorem of residues,for in plane only then limited extreme Asian pure function,and these extremes are not the integers,and is oktained the theorem of relational expression between＋∞∑k-∞,k≠0 f（k）/k′and the residues. |
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| Keywords: | theorem of residues real series pole point meromorphic function |
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