{
  "id": "2205.14805",
  "version": "v1",
  "published": "2022-05-30T02:03:18.000Z",
  "updated": "2022-05-30T02:03:18.000Z",
  "title": "Some identities on $λ$-analogues of $r$-stirling numbers of the second kind",
  "authors": [
    "Dae San Kim",
    "Hye Kyung Kim",
    "Taekyun Kim"
  ],
  "comment": "11 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Recently, the $\\lambda$-analogues of $r$-Stirling numbers of the first kind were studied by Kim-Kim. The aim of this paper is to introduce the $\\lambda$-analogues of $r$-Stirling numbers of the second kind and to investigate some properties, recurrence relations and certain identities on those numbers. We also introduce the $\\lambda$-analogues of Whitney-type $r$-Stirling numbers of the second and derive similar results to the case of the $\\lambda$-analogues of r-Stirling numbers of the second kind. In addition, we consider the $\\lambda$-analogues of Dowling polynomials and deduce a Dobinski-like formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-30T02:03:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B73"
    ],
    "keywords": [
      "second kind",
      "identities",
      "first kind",
      "derive similar results",
      "recurrence relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}