{
  "id": "1802.00896",
  "version": "v1",
  "published": "2018-02-03T02:38:36.000Z",
  "updated": "2018-02-03T02:38:36.000Z",
  "title": "A note on degenerate Stirling numbers of the first kind",
  "authors": [
    "Taekyun Kim",
    "Dae San Kim"
  ],
  "comment": "12 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Recently, the degenerate Stirling numbers of the first kind were introduced. In this paper, we give some formulas for the degenerate Stirling numbers of the first kind in the terms of the complete Bell polynomials with higher-order harmonic number arguments. Also, we derive an identity connecting the degenerate Stirling numbers of the first kind and the degenerate derangement numbers by using probabilistic method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-03T02:38:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B73",
      "11B83",
      "05A19",
      "65C50"
    ],
    "keywords": [
      "degenerate stirling numbers",
      "first kind",
      "higher-order harmonic number arguments",
      "complete bell polynomials",
      "degenerate derangement numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}