| 复变函数在极点邻域内的罗朗级数的系数公式 |
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| 引用本文： | 任京男.复变函数在极点邻域内的罗朗级数的系数公式[J].上海海事大学学报,2001,22(4):80-82. |
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| 作者姓名： | 任京男 |
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| 作者单位： | 上海海运学院基础部,上海,200135 |
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| 摘 要： | 在数学中经常要用到复变函数在极点邻域内展开的罗朗级数.本文推出了用导数运算计算该罗朗系数的公式,并举出应用实例.
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| 关 键 词： | 复变函数 极点 邻域 罗朗级数 孤立奇点 留数 解析 |
| 修稿时间： | 2001年3月9日 |
The Coefficient Formula for the Laurent Series of Complex Functions at the Neighborhood of a Pole |
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| Ren Jingnan.The Coefficient Formula for the Laurent Series of Complex Functions at the Neighborhood of a Pole[J].Journal of Shanghai Maritime University,2001,22(4):80-82. |
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| Authors: | Ren Jingnan |
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| Institution: | Ren Jingnan |
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| Abstract: | It is widely used to develop complex functions into Laurent series at the neighborhood of a pole.This paper deduces the formulae to obtain the coefficients of the Laurent series through differential calculation.Some typical examples are presented for illustration. |
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| Keywords: | complex function pole ntighborhood Laurent series isolated singularity residue analytic |
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