{
  "id": "2003.08192",
  "version": "v1",
  "published": "2020-03-18T12:44:26.000Z",
  "updated": "2020-03-18T12:44:26.000Z",
  "title": "Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions",
  "authors": [
    "Alan D. Sokal",
    "Jiang Zeng"
  ],
  "comment": "LaTeX2e, 122 pages, includes 9 tikz figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We find Stieltjes-type and Jacobi-type continued fractions for some \"master polynomials\" that enumerate permutations, set partitions or perfect matchings with a large (sometimes infinite) number of simultaneous statistics. Our results contain many previously obtained identities as special cases, providing a common refinement of all of them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-18T12:44:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19",
      "05A05",
      "05A10",
      "05A15",
      "05A18",
      "05A30",
      "30B70",
      "33C45",
      "33D45"
    ],
    "keywords": [
      "multivariate master polynomials",
      "set partitions",
      "perfect matchings",
      "common refinement",
      "special cases"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 122,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}