{
  "id": "1212.3191",
  "version": "v2",
  "published": "2012-12-13T15:11:07.000Z",
  "updated": "2013-08-09T23:51:24.000Z",
  "title": "The (r1,...,rp)-Bell polynomials",
  "authors": [
    "Mohammed Said Maamra",
    "Miloud Mihoubi"
  ],
  "comment": "12 pages",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "In a previous paper, Mihoubi et al. introduced the $(r_{1},...,r_{p}) $-Stirling numbers and the $(r_{1},...,r_{p}) $-Bell polynomials and gave some of their combinatorial and algebraic properties. These numbers and polynomials generalize, respectively, the $r$-Stirling numbers of the second kind introduced by Broder and the $r$-Bell polynomials introduced by Mez\\H{o}. In this paper, we prove that the $(r_{1},...,r_{p}) $-Stirling numbers of the second kind are log-concave. We also give generating functions and generalized recurrences related to the $(r_{1},...,r_{p}) $-Bell polynomials.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-08-09T23:51:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B73",
      "05A10",
      "11B83"
    ],
    "keywords": [
      "bell polynomials",
      "stirling numbers",
      "second kind",
      "algebraic properties",
      "combinatorial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.3191S"
    }
  }
}