English

Polynomials with only real zeros and the Eulerian polynomials of type D

Combinatorics 2012-06-05 v2

Abstract

A remarkable identity involving the Eulerian polynomials of type D was obtained by Stembridge (Adv. Math. 106 (1994), p. 280, Lemma 9.1). In this paper we explore an equivalent form of this identity. We prove Brenti's real-rootedness conjecture for the Eulerian polynomials of type DD.

Keywords

Cite

@article{arxiv.1205.6242,
  title  = {Polynomials with only real zeros and the Eulerian polynomials of type D},
  author = {Shi-Mei Ma},
  journal= {arXiv preprint arXiv:1205.6242},
  year   = {2012}
}

Comments

7 pages

R2 v1 2026-06-21T21:10:38.772Z