{
  "id": "1911.00186",
  "version": "v1",
  "published": "2019-11-01T02:44:47.000Z",
  "updated": "2019-11-01T02:44:47.000Z",
  "title": "New series identities with Cauchy, Stirling, and harmonic numbers, and Laguerre polynomials",
  "authors": [
    "Khristo N. Boyadzhiev"
  ],
  "comment": "17 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this article we use an interplay between Newton series and binomial formulas in order to generate a number of series identities involving Cauchy numbers, harmonic numbers, Laguerre polynomials, and Stirling numbers of the first kind.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-01T02:44:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B65"
    ],
    "keywords": [
      "laguerre polynomials",
      "series identities",
      "harmonic numbers",
      "newton series",
      "binomial formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}