{
  "id": "2101.11039",
  "version": "v1",
  "published": "2021-01-26T19:20:50.000Z",
  "updated": "2021-01-26T19:20:50.000Z",
  "title": "The $(l,r)$-Stirling numbers: a combinatorial approach",
  "authors": [
    "Hacène Belbachir",
    "Yahia Djemmada"
  ],
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "This work deals with a new generalization of $r$-Stirling numbers using $l$-tuple of permutations and partitions called $(l,r)$-Stirling numbers of both kinds. We study various properties of these numbers using combinatorial interpretations and symmetric functions. Also, we give a limit representation of the multiple zeta function using $(l,r)$-Stirling of the first kind.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-26T19:20:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B73",
      "11B83",
      "05A05",
      "05A18",
      "05E05"
    ],
    "keywords": [
      "stirling numbers",
      "combinatorial approach",
      "multiple zeta function",
      "work deals",
      "limit representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}