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 $D$.
@article{10_37236_5514,
author = {Anna Borowiec and Wojciech M{\l}otkowski},
title = {New {Eulerian} numbers of type {\(D\)}},
journal = {The electronic journal of combinatorics},
year = {2016},
volume = {23},
number = {1},
doi = {10.37236/5514},
zbl = {1382.05004},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5514/}
}
TY - JOUR
AU - Anna Borowiec
AU - Wojciech Młotkowski
TI - New Eulerian numbers of type \(D\)
JO - The electronic journal of combinatorics
PY - 2016
VL - 23
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.37236/5514/
DO - 10.37236/5514
ID - 10_37236_5514
ER -
%0 Journal Article
%A Anna Borowiec
%A Wojciech Młotkowski
%T New Eulerian numbers of type \(D\)
%J The electronic journal of combinatorics
%D 2016
%V 23
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/5514/
%R 10.37236/5514
%F 10_37236_5514
Anna Borowiec; Wojciech Młotkowski. New Eulerian numbers of type \(D\). The electronic journal of combinatorics, Tome 23 (2016) no. 1. doi: 10.37236/5514
