  The multi-Stirling numbers of the second kind, the unsigned multi-Stirling
numbers of the first kind, the multi-Lah numbers and the multi-Bernoulli
numbers are all defined with the help of the multiple logarithm, and generalize
respectively the Stirling numbers of the second kind, the unsigned Stirling
numbers of the first kind, the unsigned Lah numbers and the higher-order
Bernoulli numbers . The aim of this paper is to introduce the multi-Stirling
numbers of the second kind and to find several identities involving those four
numbers defined by means of the multiple logarithm and some other special
numbers.

Number Theory