用初等方法推导伯努利数的显性计算公式

王新民

王新民. 用初等方法推导伯努利数的显性计算公式[J]. 内江师范学院学报, 2012, (4): 31-32.

引用本文:

王新民. 用初等方法推导伯努利数的显性计算公式[J]. 内江师范学院学报, 2012, (4): 31-32.

WANG Xin-min. Derivation of the Explicit Formula of Bernoulli Number by Elementary Method Derivation of the Explicit Formula of Bernoulli Number by Elementary Method[J]. Journal of Neijiang Normal University, 2012, (4): 31-32.

Citation:

WANG Xin-min. Derivation of the Explicit Formula of Bernoulli Number by Elementary Method Derivation of the Explicit Formula of Bernoulli Number by Elementary Method[J]. Journal of Neijiang Normal University, 2012, (4): 31-32.

用初等方法推导伯努利数的显性计算公式

王新民

Derivation of the Explicit Formula of Bernoulli Number by Elementary Method Derivation of the Explicit Formula of Bernoulli Number by Elementary Method

WANG Xin-min

摘要

摘要: 首先给出了正整数幂和的显性计算公式,并用数学归纳法证明了相关的结论,然后从中得出了伯努利数的显性计算公式．

Abstract: First the explicit formula for positive integer’s power sum is given, and the relevant conclusions are then proved through the use of mathematical induction, from which an explicit formula of Bernoulli number is thus worked out.

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