{
  "id": "1403.0435",
  "version": "v1",
  "published": "2014-03-03T14:02:35.000Z",
  "updated": "2014-03-03T14:02:35.000Z",
  "title": "Recurrence formulas with gaps for Bernoulli and Euler polynomials",
  "authors": [
    "Zhi-Hong Sun"
  ],
  "comment": "16 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $\\{B_n\\}$, $\\{B_n(x)\\}$ and $\\{E_n(x)\\}$ be the Bernoulli numbers, Bernoulli polynomials and Euler polynomials, respectively. In this paper we mainly establish formulas for $\\sum_{6\\mid k-3}\\binom nkB_{n-k}(x)$, $\\sum_{6\\mid k}\\binom nkE_{n-k}(x)$ and $\\sum_{6\\mid k-3}\\binom nkm^kB_{n-k}$ in the cases $m=2,3,4$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-03T14:02:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B68",
      "11B39"
    ],
    "keywords": [
      "euler polynomials",
      "recurrence formulas",
      "bernoulli numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.0435S"
    }
  }
}