| 交错二项式系数倒数级数 |
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| 引用本文： | 顾银鲁,及万会. 交错二项式系数倒数级数[J]. 河南教育学院学报(自然科学版), 2014, 0(2): 18-27 |
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| 作者姓名： | 顾银鲁 及万会 |
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| 作者单位： | 银川能源学院基础部,宁夏银川750105 |
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| 基金项目： | 银川能源学院科研基金项目（2012-KY-P-36） |
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| 摘 要： | 用裂项的方法研究二项式系数倒数变换是组合分析的新手段,也是产生新级数的一个初等方法.根据一个已知级数,使用裂项方法得到分母含有1到7个奇因子的二项式系数倒数级数,所得二项式系数倒数级数的和式是封闭形的,并且给出二项式系数倒数值级数恒等式.
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| 关 键 词： | 二项式系数 倒数 裂项 级数 交错 封闭形 |
Alternating Series Involving Reciprocals of Binominal Coefficients |
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| GU Yin-lu,JI Wan-hui. Alternating Series Involving Reciprocals of Binominal Coefficients[J]. Journal of Henan Education Institute(Natural Science Edition), 2014, 0(2): 18-27 |
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| Authors: | GU Yin-lu JI Wan-hui |
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| Affiliation: | ( Department of Basic, Yinchuan Energy College, Yinchuan 750105, China) |
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| Abstract: | The method of split items is a new combinatorial analysis way and an elementary method to construct new series. Using one known series, we can construct several new series of reciprocals of combinatorial numbers by splitting items. These denominators of series contains different multiplication of one to seven odd factors and combinatorial numbers. And some identities of series of reciprocals of combinatorial numbers are given. |
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| Keywords: | combinatorial number reciprocal split term series alternating form closed |
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