Some new identities and congruences for Fubini numbers

In this paper we make extensive use of the p-adic Laplace transform and p-adic integration to study and obtain some new identities and congruences for Fubini numbers. Further, we introduce the concept of generalized Fubini numbers and obtain some new identities and congruences for these, which generalize in a natural fashion those identities associated with Fubini numbers.