| 两类切贝雪夫多项式的方幂和 |
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| 引用本文： | 及万会,吴永. 两类切贝雪夫多项式的方幂和[J]. 高师理科学刊, 2010, 30(4): 30-33. DOI: 10.3969/j.issn.1007-9831.2010.04.010 |
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| 作者姓名： | 及万会 吴永 |
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| 作者单位： | 1. 银川大学,数学教研室,宁夏,永宁750105
2. 银川大学,校长办公室,宁夏,永宁750105 |
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| 基金项目： | 银川大学科研基金项目 |
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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出∑=nkrkkkUd0(1),∑=nkrkkkTd0(1),∑=nkrkkUk0(1)sinα,∑=nkrkkUk0(1)cosα,∑=nkrkkTk0(1)sinα,∑=nkrkkTk0(1)cosα的计算公式.
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| 关 键 词： | Chebyshev多项式 方幂和 发生函数 |
The power sum of two kind of Chebyshev polynomial |
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| JI Wan-hui,WU Yong. The power sum of two kind of Chebyshev polynomial[J]. Journal of Science of Teachers＇College and University, 2010, 30(4): 30-33. DOI: 10.3969/j.issn.1007-9831.2010.04.010 |
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| Authors: | JI Wan-hui WU Yong |
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| Affiliation: | 1.Department of Mathematics,Yinchuan University,Yongning 750105,China;2.Office of Headmaster,Yinchuan University,Yongning 750105,China) |
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| Abstract: | Let T n（x）,Un（x）be Chebyshev polynomial,complex number d ≠0,gave the calculation formulas of ∑ = n k rk k k Ud 0（1）,∑ = n k rk k k Td 0（1）and ∑ = n k r k k Uk 0（1）sinα,∑ = n k r k k Uk 0（1）cosα,∑ = n k r k k Tk 0（1）sinα,∑ = n k r k k Tk 0（1）cosα by method of generating function. |
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| Keywords: | Chebyshev polynomial power sum generating function |
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