Abstract
In the paper, by virtue of an explicit formula for higher order derivatives of the ratio between two differentiable functions in terms of the Hessenberg determinant, the author presents determinantal expressions and recurrence relations for generalized Fubini polynomials. Hereafter, by virtue of relations between Eulerian polynomials and the (generalized) Fubini numbers and polynomials, the author derives a determinantal expression for Eulerian polynomials and several recurrence relations for the Fubini and Eulerian polynomials.
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