有关高阶Bernoulli数的几个恒等式

The identical relations about n-order Bernoulli Numbers

利用高阶Bernoulli数第一类Stirling数S1(n,k)和第二类Stirling数S2(n,k)的定义,研究了其母函数的幂级数展开,揭示了高阶Bernoulli数和第一类Stirling数S1(n,k)、第二类Stirling数S2(n,k)之间的内在联系,得到了几个高阶Bernoulli数和第一类Stirling数S1(n,k)、第二类Stirling数S2(n,k)

Using the definitions of n-order Bernoulli Numbers and the Stirling Numbers of the first kind and second kind,the relations betweer them were studied,some identical relations betweer Bernoulli Numbers and Stirling Numbers were obtained.