Recurrences for Eulerian polynomials of type B and type D
Combinatorics
2015-02-17 v3
Abstract
We introduce new recurrences for the type B and type D Eulerian polynomials, and interpret them combinatorially. These recurrences are analogous to a well-known recurrence for the type A Eulerian polynomials. We also discuss their relationship to polynomials introduced by Savage and Visontai in connection to the real-rootedness of the corresponding Eulerian polynomials.
Cite
@article{arxiv.1404.3110,
title = {Recurrences for Eulerian polynomials of type B and type D},
author = {Matthew Hyatt},
journal= {arXiv preprint arXiv:1404.3110},
year = {2015}
}