| 二项式系数倒数级数恒等式 |
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| 引用本文： | 张来萍,及万会. 二项式系数倒数级数恒等式[J]. 数学的实践与认识, 2014, 0(21) |
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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： | 银川能源学院科研项目(2012-KY-P-32) |
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| 摘 要： | 利用已知级数,通过裂项构造出一批新的二项式系数倒数级数,它们的分母分别含有1到4个奇因子与二项式系数的乘积表达式.所给出二项式系数倒数级数的和式是封闭形的.
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| 关 键 词： | 二项式系数 裂项 倒数 级数 封闭形 恒等式 |
The Series of the Reciprocal of Binomial Coefficients |
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| Abstract: | Using one known series,we can structure several new series of reciprocals of binomial coefficients by splitting items.These denominators of series contains different the multiplication of 1 to 4 odd factors and combinatorial numbers.And some identities of series of numbers values of reciprocals of binomial coefficients are given.The method of split items offered in this paper is a new combinatorial analysis way and a elementary method to construct new series. |
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| Keywords: | binomial coefficients Split terms reciprocal series form closed Identity |
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