A New Formula of q-Fubini Numbers via Goncharov polynomials

Adel Hamdi

A New Formula of q-Fubini Numbers via Goncharov polynomials

Combinatorics 2019-08-20 v1

Authors: Adel Hamdi

Abstract

Connected the generalized Goncharov polynomials associated to a pair ( $\partial,\mathcal{Z}$ ) if a delta operator $\partial$ and an interpolation grid $\mathcal{Z}$ , 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.

Keywords

q-Fubini numbers Goncharov polynomials delta operator interpolation grid binomial enumeration order statistics

Cite

@article{arxiv.1908.06939,
  title  = {A New Formula of q-Fubini Numbers via Goncharov polynomials},
  author = {Adel Hamdi},
  journal= {arXiv preprint arXiv:1908.06939},
  year   = {2019}
}

Comments

12pages. arXiv admin note: text overlap with arXiv:1511.04039 by other authors

A New Formula of q-Fubini Numbers via Goncharov polynomials

Abstract

Keywords

Cite

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