| 一类正负相间对偶三角函数级数 |
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| 引用本文： | 张来萍,及万会. 一类正负相间对偶三角函数级数[J]. 河南教育学院学报(自然科学版), 2014, 0(4): 11-16 |
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| 作者姓名： | 张来萍 及万会 |
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| 作者单位： | 银川能源学院基础部; |
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| 基金项目： | 银川能源学院科学研究基金项目(2011-37-15) |
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| 摘 要： | 根据一个已知级数,利用裂项法得到一些正负相间二项式系数倒数的级数,然后利用复变数的理论给出系数为二项式系数倒数的正负相间对偶三角函数级数封闭形和式.
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| 关 键 词： | 二项式系数 裂项 倒数 级数 对偶 正负相间 封闭形 |
One Class of Series Alternated with Positive and Negative of Dual Trigonometric Function |
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| ZHANG Lai-ping,JI Wan-hui. One Class of Series Alternated with Positive and Negative of Dual Trigonometric Function[J]. Journal of Henan Education Institute(Natural Science Edition), 2014, 0(4): 11-16 |
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| Authors: | ZHANG Lai-ping JI Wan-hui |
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| Affiliation: | ( Department of Basic, Yinchuan Energy College, Yinchuan 750105, China) |
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| Abstract: | According to a known series, by splitting terms, the reciprocals series alternated with positive and nega- tive of binominal coefficients is obtained. And by complex function, the closed formal is obtained. The closed form of sum of the dual trigonometric function series alternated with positive and negative, whose coefficients involving reciprocals of binominal coefficients, is given. |
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| Keywords: | binominal coefficients splitting terms reciprocal series dual alternated with positive and negative closed form |
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