关于留数定理的一个推广 |
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引用本文: | 李庆,林诗游.关于留数定理的一个推广[J].琼州学院学报,2013(5):30-35. |
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作者姓名: | 李庆 林诗游 |
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作者单位: | 海南师范大学数学与统计学院,海南海口571158 |
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基金项目: | 国家自然科学基金项目(11226167,11361020);海南省自然科学基金项目(111005);海南师范大学教授(博士)科研启动资助项目(HSBS1016). |
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摘 要: | 研究了留数定理的有关问题,通过举例论证和归纳推理等证明方法,得到了单个留数定理的一个推广结论,最后将此结论应用于一些积分问题中.
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关 键 词: | 留数定理 归纳推理方法 积分 |
A generalization for the Residue Theorem |
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Institution: | LI Qing, LIN Shi- you (School of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan, 571158, China) |
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Abstract: | The related issues for the residue theorem were studied in this paper. A general result of the residue theorem was got by using the methods such as illustration and inductive reasoning. Finally, the result was applied to some integral problems. |
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Keywords: | Residue theorem Inductive reasoning Integral problem |
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