  In this paper, by using some families of special numbers and polynomials with
their generating functions, we give various properties of these numbers and
polynomials. These numbers are related to the well-known numbers and
polynomials, which are the Euler numbers, the Stirling numbers of the second
kind, the central factorial numbers and the array polynomials. We also discuss
some combinatorial interpretations of these numbers related to the rook
polynomials and numbers. Furthermore, we give computation formulas for these
numbers and polynomials.
