{
  "id": "2206.10194",
  "version": "v1",
  "published": "2022-06-21T08:51:03.000Z",
  "updated": "2022-06-21T08:51:03.000Z",
  "title": "Degenerate r-associated Stirling numbers",
  "authors": [
    "Taekyun Kim",
    "Dae San Kim"
  ],
  "comment": "8 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "For any positive integer r, the r-associated Stirling number of the second kind enumerates the number of partitions of the set{1,2,3,...,n} into k non-empty disjoint subsets such that each subset contains at least r elements. We introduce the degenerate r-associated Stirling numbers of the second kind and of the first kind. They are degenerate versions of the r-associated Stirling numbers of the second kind and of the first kind, and reduce to the degenerate Stirling numbers of the second kind and of the first kind for r=1. The aim of this paper is to derive recurrence relations for both of those numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-21T08:51:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B73",
      "11B83"
    ],
    "keywords": [
      "degenerate r-associated stirling numbers",
      "first kind",
      "second kind enumerates",
      "non-empty disjoint subsets",
      "subset contains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}