{
  "id": "1205.6242",
  "version": "v2",
  "published": "2012-05-29T00:41:19.000Z",
  "updated": "2012-06-04T01:29:12.000Z",
  "title": "Polynomials with only real zeros and the Eulerian polynomials of type D",
  "authors": [
    "Shi-Mei Ma"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CO"
  ],
  "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 $D$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-06-04T01:29:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05",
      "26C10"
    ],
    "keywords": [
      "eulerian polynomials",
      "real zeros",
      "brentis real-rootedness conjecture",
      "equivalent form",
      "stembridge"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.6242M"
    }
  }
}