Bernoulli number

The Relation Between Euler Number and Bernoulli Number and Their Application

欧拉数与伯努利数的关系及应用

The uniform expression for two kinds of Stirling number and Bernoulli number

两类Stirling数和Bernoulli数的统一表示

Analytic Representative of the First Kind Stirling Number and Bernoulli Number

第一类Stirling数与Bernoulli数的解析表示式

The General Expressions for Sum of Equal Powers and Bernoulli Number

等幂和与Bernoulli数的通解公式

Analytic Representative of Two Class Stirling Number and Bernoulli Number and Euler Number

第2类Stirling数Bernoulli数与Euler数的解析表示式

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

自然数幂和公式系数的递推公式和有关Bernoulli数的计算公式

In this paper , we utilize exponential generating function to establish an identical formula describing the relationship between Bernoulli number and Stirling number of the second kind .

应用灰色系统理论对玻璃钢抽油杆的疲劳性能进行研究，建立了不同交变应力与对数循环次数之间的生成函数。

In this paper , the probabilistic interpretations of Bernoulli number and the number of derangements are given , and their recurrence relation formulae are obtained by using the probabilistic method .

给出Bernoulli数和错位排列数的概率解释，利用概率论方法得到相应的递推公式。

With the use of primary Number Theory , the properties of Bernoulli number are studied , and from which a group of Bernoulli Number-included identities and congruence formula are obtained .

运用初等数论的方法，研究了Bernoulli数的性质，并得到了一组包含Bernoulli数的恒等式及其同余式。

Several precise expressions involving Stirling numbers as coefficients for the power sum of natural numbers are given . Some new properties of the Stirling number and counting formulae of the Bernoulli number are obtained .

给出了自然数方幂和的包含Stirling数的几种精确表示式，得到了Stirling数的一些新的性质和Bernouli数的计数式。