| 一类含有三角函数的切贝雪夫多项式方幂和 |
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| 引用本文： | 及万会. 一类含有三角函数的切贝雪夫多项式方幂和[J]. 西南民族学院学报(自然科学版), 2009, 35(1): 12-16 |
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| 作者姓名： | 及万会 |
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| 作者单位： | 银川大学,银川750105 |
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| 摘 要： | 设Tn（x），Un（x）是Chebyshev多项式，复数d≠0，利用发生函数方法给Chebyshev多项式方幂和∑^n k=1U^r kd^k,∑^n k=0T^r kd^k计算公式，并进一步得到方幂和∑^n k=1U^rksinKα,∑^n k=0T^rk sinkα计算公式，
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| 关 键 词： | Chebyshev多项式 三角函数 方幂和 形式幂级数 发生函数 |
The one kind power sum of Chebyshev polynomial which includes the trigonometric function |
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| JI Wan-hui. The one kind power sum of Chebyshev polynomial which includes the trigonometric function[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2009, 35(1): 12-16 |
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| Authors: | JI Wan-hui |
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| Affiliation: | JI Wan-hal ( Department of Mathematics, Yinchuan University, Yinchuan 750105, P. R. C. ) |
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| Abstract: | Let Tn, Un be Chebyshev polynomial, complex number d≠0, the power Sum：∑^n k=1U^r kd^k,∑^n k=0T^r kd^k and the power sum of Chebyshev which includes the trigonometric function ∑^n k=1U^rksinKα,∑^n k=0T^rk sinkα is discussed and calculation formulas is given by method of generating function. |
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| Keywords: | Chebyshev polynomial trigonometric function power sum formal power series generating function |
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