自然数幂和公式系数的递推公式和有关Bernoulli数的计算公式  

A recurrence formula of the coefficient of the sum of natural numbers power and the calculating formula of Bernoulli Number

作　　者：朱伟义[1] 

机构地区：[1]浙江师范大学数理学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2005年第2期128-131,共4页Journal of Zhejiang Normal University:Natural Sciences

基　　金：浙江省重点学科(基础数学)资助项目;浙江省教育厅科研基金资助项目(20040846)

摘　　要：研究了自然数幂和的表示公式,给出了其系数的一个递推关系式;利用递推关系式,得到幂和的各项系数,并由幂和公式的系数得到了计算Bernoulli数的几个计算公式.The formula of the sum of natural number′ pow er was studied, a recurrence formula of the coefficient about the sum of natural n umbers power was presented. It was showed to be better than the other formulas t hat have been obtained. Based on the obtained recurrence formula, several formu las about Bernoulli Number were also obtained.

关 键 词：BERNOULLI数 计算公式 自然数幂和公式 递推公式 递推关系式 表示公式 

分 类 号：O156.4[理学—数学] O11[理学—基础数学]