English

New Eulerian numbers of type D

Combinatorics 2016-03-24 v1

Abstract

We introduce a new array of type DD Eulerian numbers, different from that studied by Brenti, Chow and Hyatt. We find in particular the recurrence relation, Worpitzky formula and the generating function. We also find the probability distributions whose moments are Eulerian polynomials of type AA, BB and DD.

Keywords

Cite

@article{arxiv.1509.03758,
  title  = {New Eulerian numbers of type D},
  author = {Anna Borowiec and Wojciech Młotkowski},
  journal= {arXiv preprint arXiv:1509.03758},
  year   = {2016}
}

Comments

11 pages

R2 v1 2026-06-22T10:55:11.173Z