Construction of certain new families related to q-Fubini polynomials

Fubini polynomials play an important role in the theory and applications of mathematics. These polynomials appear in combinatorial mathematics, thus attracted an appreciable amount of interest of number theory and combinatorics experts. In this paper, the q-Fubini polynomials are combined with q-Bessel functions in order to introduce q-Fubini-Bessel functions. Certain results for these q-hybrid functions are derived. Their relations with the classical Fubini polynomials and Bessel functions are established and q-Fubini-Bessel polynomials are explored. The graphical representations of q-Fubini polynomials and q-Fubini-Bessel polynomials for particular values of indices and variables are also considered.