{
  "id": "1111.2817",
  "version": "v1",
  "published": "2011-11-11T18:48:30.000Z",
  "updated": "2011-11-11T18:48:30.000Z",
  "title": "Combinatorial interpretations of particular evaluations of complete and elementary symmetric functions",
  "authors": [
    "Pietro Mongelli"
  ],
  "comment": "22 pages, no figures",
  "journal": "Electr. J. of Combin. 19 (2012), #P60",
  "categories": [
    "math.CO"
  ],
  "abstract": "The Jacobi-Stirling numbers and the Legendre-Stirling numbers of the first and second kind were first introduced in [6], [7]. In this paper we note that Jacobi-Stirling numbers and Legendre-Stirling numbers are specializations of elementary and complete symmetric functions. We then study combinatorial interpretations of this specialization and obtain new combinatorial interpretations of the Jacobi-Stirling and Legendre-Stirling numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-11T18:48:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19",
      "05A05",
      "05A30",
      "11P81"
    ],
    "keywords": [
      "elementary symmetric functions",
      "legendre-stirling numbers",
      "evaluations",
      "study combinatorial interpretations",
      "jacobi-stirling numbers"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.2817M"
    }
  }
}