{
  "id": "2007.11557",
  "version": "v1",
  "published": "2020-07-22T17:24:06.000Z",
  "updated": "2020-07-22T17:24:06.000Z",
  "title": "Some observations on the connection between Stirling numbers and Bessel numbers",
  "authors": [
    "David Stenlund"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We present new proofs for some summation identities involving Stirling numbers of both first and second kind. The two main identities show a connection between Stirling numbers and Bessel numbers. Our method is based on solving a particular recurrence relation in two different ways and comparing the coefficients in the resulting polynomial expressions. We also briefly discuss a probabilistic setting where this recurrence relation occurs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-22T17:24:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B73",
      "11B83",
      "05A19",
      "60J60"
    ],
    "keywords": [
      "stirling numbers",
      "bessel numbers",
      "connection",
      "observations",
      "recurrence relation occurs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}