New Eulerian Numbers of Type $D$

  • Anna Borowiec
  • Wojciech Młotkowski
DOI: https://doi.org/10.37236/5514
Keywords: Eulerian numbers, Signed permutations, Moments of a probability measure

Abstract

We introduce a new array of type $D$ 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 $A$, $B$ and $D$.

Published
2016-02-19
Issue
Volume 23, Issue 1 (2016)
Article Number
P1.38