| 留数定理在三角和恒等式中的一个应用 |
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| 引用本文： | 王欣.留数定理在三角和恒等式中的一个应用[J].数学研究及应用,2011,31(1):183-186. |
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| 作者姓名： | 王欣 |
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| 作者单位： | 海军大连舰艇学院, 辽宁 大连 116018 |
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| 摘 要： | By evaluating a contour integral with the Cauchy residue theorem, we prove a general summation formula on trigonometric sum, which contains several interesting trigonometric identities as special cases.
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| 关 键 词： | residue theorem trigonometric function contour integration |
| 收稿时间： | 2008/12/18 0:00:00 |
| 修稿时间： | 2009/6/30 0:00:00 |
Application of the Residue Theorem to Trigonometric Sum Identities |
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| Xin WANG.Application of the Residue Theorem to Trigonometric Sum Identities[J].Journal of Mathematical Research with Applications,2011,31(1):183-186. |
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| Authors: | Xin WANG |
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| Institution: | Basic Research Department,Dalian Naval Academy,Liaoning 116018,P.R.China |
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| Abstract: | By evaluating a contour integral with the Cauchy residue theorem, we prove a general summation formula on trigonometric sum, which contains several interesting trigonometric identities as special cases. |
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| Keywords: | residue theorem trigonometric function contour integration |
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