| 一类正负相间分式序列封闭形和式 |
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| 引用本文： | 及万会,张来萍.一类正负相间分式序列封闭形和式[J].河北北方学院学报(自然科学版),2012(4):9-14. |
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| 作者姓名： | 及万会 张来萍 |
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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： | 银川能源学院科研基金项目(2011-37-15) |
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| 摘 要： | 利用arctan F(n)+arctan F(n+1)=arctanF(n)+F(n+1)/1-F(n)F(n+1)得到正负相间反正切序列封闭形和式,用微分法得到正负相间分式序列封闭形和式,进而计给出正负相间反正切级数与分式级数和式。
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| 关 键 词： | 反正切函数 正负相间 分式 序列 级数 封闭形 恒等式 |
A Class of Closed Form Sum Alternated with Positive and Negative of Fractional Sequence |
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| JI Wan-hui,ZHANG Lai-ping.A Class of Closed Form Sum Alternated with Positive and Negative of Fractional Sequence[J].Journa of Hebei North University:Natural Science Edition,2012(4):9-14. |
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| Authors: | JI Wan-hui ZHANG Lai-ping |
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| Institution: | (Department of Basic Courses,Yinchuan Energy College,Yinchuan 750105,Ningxia,China) |
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| Abstract: | By arctan F(n)+arctan F(n+1)=arctanF(n)+F(n+1)/1-F(n)F(n+1),we obtain that the closed form sum alternated with positive and negative of arctangents sequence.And by differentiation we obtain the closed form sum alternated with positive and negative of fractional sequence.Then we provide sum alternated with positive and negative of arctangent series and fractional series. |
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| Keywords: | arctangents alternated with positive and negative fractional sequences series closed form identity |
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