| 一类广义积分integral from n=(-∞) to (+∞)(((sin~nx)/x~r)dx)的计算 |
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| 引用本文： | 林峰,田国强,林茜. 一类广义积分integral from n=(-∞) to (+∞)(((sin~nx)/x~r)dx)的计算[J]. 大学数学, 2009, 25(1) |
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| 作者姓名： | 林峰 田国强 林茜 |
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| 作者单位： | 华侨大学,数学系,福建,泉州,362021 |
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| 摘 要： | 在不涉及Hadamard主值积分的情况下,利用推广的留数定理,给出了广义积分integral from n=(-∞) to (+∞)(((sin~nx)/x~r)dx)的一种求值方法.
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| 关 键 词： | 广义积分 推广的留数定理 Hadamard主值 |
On the Evaluation of a Generalized Definite Integral |
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| LIN Feng,TIAN Guoqiang,LIN Xi. On the Evaluation of a Generalized Definite Integral[J]. College Mathematics, 2009, 25(1) |
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| Authors: | LIN Feng TIAN Guoqiang LIN Xi |
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| Affiliation: | Department of Mathematics;Huaqiao University;Quanzhou Fujian 362021;China |
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| Abstract: | We give a new evaluation method of integral from n=(-∞) to (+∞)(((sin~nx)/x~r)dx), when n and r are all odd numbers or n and r are all even numbers by using extended residue theorem. This method does not involve Hadmard principal value integral. |
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| Keywords: | generalized definite integral extend residue theorem Hadamard principal integral |
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