| 一类分式序列封闭形和式 |
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| 引用本文： | 及万会,马东娟.一类分式序列封闭形和式[J].河北北方学院学报(自然科学版),2012,28(2):9-12. |
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| 作者姓名： | 及万会 马东娟 |
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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 |
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| 摘 要： | 利用反正切函数关系arctan F（n）-arctan F（n＋1）=arctan （F（n）-F（n＋1））/（1＋F（n）F（n＋1））得到一类反正切序列封闭形和式,利用微分法得到一类分式序列封闭形和式,并给出反正切级数与分式级数恒等式.
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| 关 键 词： | 反正切函数 分式 序列 级数 封闭形 恒等式 |
Close Form Sums of One Class of Fractional Sequence |
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| JI Wan-hui,MA Dong-juan.Close Form Sums of One Class of Fractional Sequence[J].Journa of Hebei North University:Natural Science Edition,2012,28(2):9-12. |
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| Authors: | JI Wan-hui MA Dong-juan |
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| Institution: | (Department of Basic Courses,Yinchuan Energy College,Yinchuan,750105 Ningxia,China) |
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| Abstract: | Utilizing arctangent arctan F(n)-arctan F(n+1)=arctan (F(n)-F(n+1))/(1+F(n)F(n+1)),we get that the closed form sum of one class arctangent sequence and by differential method we get the closed form sum of one class of fractional sequences.And we obtain the identities of arctangent series and fractional series. |
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| Keywords: | arctangents fraction sequences closed form identity |
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