| 一个计算幂和多项式的积分递推公式 |
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| 引用本文： | 孙哲. 一个计算幂和多项式的积分递推公式[J]. 数学的实践与认识, 2004, 34(12): 149-153 |
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| 作者姓名： | 孙哲 |
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| 作者单位： | 宝鸡市数学会,陕西,宝鸡,721000 |
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| 摘 要： | 历史悠久的幂和问题 ,是迄今仍然颇受关注的一个问题 .以往虽有多种方法 ,但计算阶数较高的幂和公式大都十分繁琐 ,本文方法则消除了这种不足 .本文介绍一个计算幂和多项式的积分递推公式 ,并给出该公式的初等证明和某些应用 .
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| 关 键 词： | 幂和多项式 积分递推公式 初等证明 应用举例 |
| 修稿时间： | 2002-11-10 |
An Integral Recurrence Formula for Calculating the Polynomials of Powers Sum |
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| SUN Zhe. An Integral Recurrence Formula for Calculating the Polynomials of Powers Sum[J]. Mathematics in Practice and Theory, 2004, 34(12): 149-153 |
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| Authors: | SUN Zhe |
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| Abstract: | Historical long problem of powers sum is a problem that still quite gets solicitude so far. Before though, there is various method, but it is mostly more fussy to calculate formula of powers sum of higher order, the method of this paper have eliminated this shortcoming. In this paper we introduce an integral recurrence formula for calculating polynomial of powers sum, and gives its a primary proof and some applications. |
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| Keywords: | polynomial of sum of powers integral recurrence formula primary proof application examples |
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