Bernoulli数B_n与第二类Stirling数S_2(n,k)的关系

THE RELATION BETWEEN BERNOULLI NUMBERS B_n AND THE SECOND STIRLING NUMBERS S_2(n,k)

应用实函数差分的方法,研究Bernoulli数与第二类Stirling数,指出它们之间的关系,得到包含B_n和S_2(n,k)的恒等式.

With the method of a real function difference to study the bernoulli numbers and the second Stirling numbers,and point out the relation between the bernoulli numbers and the second Stirling numbers,thereby we can get the identity which includes the B_n and S_2(n,k).