{
  "id": "2106.12935",
  "version": "v1",
  "published": "2021-06-24T11:58:29.000Z",
  "updated": "2021-06-24T11:58:29.000Z",
  "title": "$(p, q)$-analogues of the generalized Touchard polynomials and Stirling numbers",
  "authors": [
    "Lahcen Oussi"
  ],
  "comment": "17 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper we introduce a $(p, q)$-deformed analogues of the generalized Touchard polynomials and Stirling numbers, the post-quantum analogues of the $q$-deformed generalized Touchard polynomials and Stirling numbers. The connection between these deformations is established. A recurrence relation for the $(p, q)$-deformed generalized Touchard polynomials is expounded, elucidating a $(p, q)$-deformation of Spivey's relation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-24T11:58:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B73",
      "05A30",
      "11B65",
      "11S05",
      "05A99"
    ],
    "keywords": [
      "stirling numbers",
      "deformed generalized touchard polynomials",
      "spiveys relation",
      "post-quantum analogues",
      "deformation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}