孪生组合恒等式(十二)——第2类Stirling数类型

Combinatorial Twin Identities(Ⅻ): Stirling' s Number Types of the Second Kind

叙述2组第2类Stirling数类型的孪生恒等式,第1组含有Bernoulli数与第2类Stirling 数,第2组含有Euler数与第2类Stirling数,运用形式幂级数运算给出证明.

In this paper,the authors describe two groups of twin identities-Stirling's number types of the second kind.In the first group, the Bernoulli number and the Stirling number of the second kind are contained; and in the second group, the Euler number and the Stirling number are contained.These are proved by the operation of formal power series.