计算方幂和sun form k=1 to m(k^m) 的几个递推公式

Recurrence Formulas for Calculating Power Sum sun form k=1 to m(k^m)

如何简化方幂和的计算,一直是人们研究的一个热点问题,首先应用初等微积分知识给出一个积分恒等式,然后利用这个恒等式构造出一个结构简单、便于使用的计算方幂和的递推公式。

It has been being a popular problem how to simplify the calculation of power sum. with calculus,we first obtain an equality and consequently obtain a recurrence formula for calculating power sum. This formula is of simple construction and can be used conveniently. Finally,we give two simpler recurrence formulas for calculating power sum.