A New Formula of q-Fubini Numbers via Goncharov polynomials
Abstract
Connected the generalized Goncharov polynomials associated to a pair (∂,Z) if a delta operator ∂ and an interpolation grid Z, introduced by Lorentz, Tringali and Yan in [7], with the theory of binomial enumeration and order statistics, a new q-deformed of these polynomials given in this paper allows us to derive a new combinatorial formula of q-Fubini numbers. A combinatorial proof and some nice algebraic and analytic properties have been expanded to the q-deformed version.
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