利用Stirling数给出广义Cauchy、数的显式计算公式,并讨论其分别与Stirling数、Bernoulli数和Euler数之间的关系,得到了包含广义Cauchy数的一些恒等式,并改进了已有的卷积公式.
An explicit computational formula of the generalized Cauchy numbers was given by means of the Stirling numbers, and then the relationships of the explicit computational formula with each of the Stirling numbers, Bernoulli numbers and Euler numbers were discussed, and some identities involving the Cauchy numbers were obtained. At last, we also improved the convolution formula which has been given.