{
  "id": "1310.5921",
  "version": "v2",
  "published": "2013-10-19T05:13:05.000Z",
  "updated": "2014-05-21T22:53:06.000Z",
  "title": "Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind",
  "authors": [
    "Bai-Ni Guo",
    "Feng Qi"
  ],
  "comment": "6 pages",
  "journal": "Journal of Computational and Applied Mathematics 272 (2014), 251--257",
  "doi": "10.1016/j.cam.2014.05.018",
  "categories": [
    "math.CA",
    "math.CO"
  ],
  "abstract": "In the paper, the author elementarily unifies and generalizes eight identities involving the functions $\\frac{\\pm1}{e^{\\pm t}-1}$ and their derivatives. By one of these identities, the author establishes two explicit formulae for computing Euler polynomials and two-parameter Euler polynomials, which are a newly introduced notion, in terms of Stirling numbers of the second kind.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-21T22:53:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B68",
      "11B73",
      "33B10"
    ],
    "keywords": [
      "computing euler polynomials",
      "explicit formulae",
      "second kind",
      "stirling numbers",
      "two-parameter euler polynomials"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.5921G"
    }
  }
}