Degenerate Fubini-type polynomials associated with degenerate Apostol-Bernoulli and Apostol-Euler polynomials of order {\alpha}

In this paper, by introducing the degenerate Fubini-type polynomials, we give several relations with the help of the Fa`a di Bruno formula and some properties of Bell polynomials, and generating function methods. Also, we derive some new explicit formulas and recurrence relations for Fubini-type polynomials and numbers. Associating the degenerate Fubini-type polynomials newly defined here with degenerate Apostol-Bernoulli polynomials and degenerate Apostol-Euler polynomials of order {\alpha} enables us to present additional relations for some degenerate special polynomials and numbers.