{
  "id": "2005.03874",
  "version": "v1",
  "published": "2020-05-08T06:34:46.000Z",
  "updated": "2020-05-08T06:34:46.000Z",
  "title": "On Alzer-Kwong's Identities for Bernoulli polynomials",
  "authors": [
    "Min-Soo Kim",
    "Daeyeoul Kim",
    "Ji Suk So"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we prove new identities for Bernoulli polynomials that extend Alzer and Kwong's results. The key idea is to use the Volkenborn integral over $\\mathbb Z_p$ of the Bernoulli polynomials to establish recurrence relations on the integrands. Also, some known identities are obtained by our approach.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-08T06:34:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B68",
      "11S80",
      "H.0"
    ],
    "keywords": [
      "bernoulli polynomials",
      "alzer-kwongs identities",
      "kwongs results",
      "volkenborn integral",
      "establish recurrence relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}