{
  "id": "2202.11306",
  "version": "v1",
  "published": "2022-02-23T04:51:51.000Z",
  "updated": "2022-02-23T04:51:51.000Z",
  "title": "Stirling numbers associated with sequences of polynomials",
  "authors": [
    "Dae san Kim",
    "taekyun Kim"
  ],
  "comment": "39 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let P be the set of the sequence of polynomials of degree n. The aim of this paper is to study the Stirling numbers of the second kind associated with P and of the first kind associated with P, in a unified and systematic way with the help of umbral calculus technique. Our results are illustrated with many examples which give rise to interesting inverse relations in each case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-23T04:51:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19",
      "05A40",
      "11B73",
      "11B83"
    ],
    "keywords": [
      "stirling numbers",
      "polynomials",
      "umbral calculus technique",
      "first kind",
      "second kind"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}