ON GENERALIZED FUBINI POLYNOMIALS

Feng Qi (1, 2, 3)

1 Tianjin Polytechnic University
2 Inner Mongolia University for Nationalities
3 Henan Polytechnic University

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 the generalized Fubini polynomials.

Mots clés: generalized Fubini polynomial; determinantal expression; recurrence relation; Hessenberg determinant

Domaines: Combinatoire [math.CO]; Théorie des nombres [math.NT]; Analyse classique [math.CA]

Feng Qi. ON GENERALIZED FUBINI POLYNOMIALS. 2018. ⟨hal-01853686v1⟩