Abstract: 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.

Key words: generalized Cauchy number, Stirling number, Bernoul li number, Euler number, generating function