The Fubini type polynomials have many application not only especially in
combinatorial analysis, but also other branches of mathematics, in
engineering and related areas. Therefore, by using the p-adic integrals
method and functional equation of the generating functions for Fubini type
polynomials and numbers, we derive various different new identities,
relations and formulas including well-known numbers and polynomials such as
the Bernoulli numbers and polynomials, the Euler numbers and polynomials,
the Stirling numbers of the second kind, the ?-array polynomials and the Lah
numbers.