{
  "id": "1702.06420",
  "version": "v1",
  "published": "2017-02-20T10:28:40.000Z",
  "updated": "2017-02-20T10:28:40.000Z",
  "title": "A closed formula for the generating function of p-Bernoulli numbers",
  "authors": [
    "Levent Kargın",
    "Mourad Rahmani"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, using geometric polynomials, we obtain a generating function of p-Bernoulli numbers. As a consequences this generating function, we derive closed formulas for the finite summation of Bernoulli and harmonic numbers involving Stirling numbers of the second kind.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-20T10:28:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B68",
      "11B83"
    ],
    "keywords": [
      "generating function",
      "p-bernoulli numbers",
      "geometric polynomials",
      "finite summation",
      "harmonic numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}