paper

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

arXiv:1205.6242

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 .

7 pages

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