{
  "id": "math/0611826",
  "version": "v2",
  "published": "2006-11-27T14:59:48.000Z",
  "updated": "2007-07-01T13:41:33.000Z",
  "title": "$q$-Eulerian polynomials and polynomials with only real zeros",
  "authors": [
    "S. -M. Ma",
    "Yi Wang"
  ],
  "comment": "8 pages, minor corrections",
  "journal": "The Electronic Journal of Combinatorics 15 (2008) #R17",
  "categories": [
    "math.CO"
  ],
  "abstract": "Let $f$ and $F$ be two polynomials satisfying $F(x)=u(x)f(x)+v(x)f'(x)$. We characterize the relation between the location and multiplicity of the real zeros of $f$ and $F$, which generalizes and unifies many known results, including the results of Brenti and Br\\\"and\\'en about the $q$-Eulerian polynomials.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-07-01T13:41:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A20",
      "26C10"
    ],
    "keywords": [
      "real zeros",
      "eulerian polynomials",
      "multiplicity"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11826M"
    }
  }
}