| 一类对偶三角函数级数封闭形和式 |
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| 引用本文： | 杨春艳,及万会.一类对偶三角函数级数封闭形和式[J].河北北方学院学报(自然科学版),2012(4):1-4. |
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| 作者姓名： | 杨春艳 及万会 |
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| 作者单位： | 银川能源学院基础部 |
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| 摘 要： | 利用已知级数公式,使用复变函数方法和幂级数公式给出了一类对偶三角函数级数封闭形和式∑∞k=1tkcos(pk+s)xk,∑∞k=1(-1)k+1tkcos(pk+s)xk,∑∞k=0t2k+1cos(2k+s)x2k+1,∑∞k=0(-1)kt2k+1cos(2k+s)s2k+1和∑∞k=0(-1)k4k(2kk)cos(2k+s)x2k+1。
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| 关 键 词： | 三角函数 级数 对偶 封闭形 |
A Class of Closed Formal Sum of Dual Trigonometric Function Series |
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| YANG Chun-yan,JI Wan-hui.A Class of Closed Formal Sum of Dual Trigonometric Function Series[J].Journa of Hebei North University:Natural Science Edition,2012(4):1-4. |
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| Authors: | YANG Chun-yan JI Wan-hui |
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| Institution: | (Department of Basic Courses,Yinchuan Energy College,Yinchuan 750105,Ningxia,China) |
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| Abstract: | In this paper,according to a known series formula,the method of complex function and power series formula is used to obtain the closed formal sum of the dual trigonometric function series: ∑∞ k=1tkcos(pk+s)x k,∑∞ k=1(-1)k+1tkcos(pk+s)x k,∑∞ k=0t2k+1cos(2k+s)x 2k+1,∑∞ k=0(-1)kt2k+1cos(2k+s)s 2k+1 and ∑∞ k=0(-1)k4k(2kk) cos(2k+s)x 2k+1. |
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| Keywords: | trigonometric function series dual closed formal sum |
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