{
  "id": "1404.6734",
  "version": "v2",
  "published": "2014-04-27T10:14:06.000Z",
  "updated": "2014-05-11T10:59:32.000Z",
  "title": "Explicit expressions for a family of Bell polynomials and derivatives of some functions",
  "authors": [
    "Feng Qi",
    "Miao-Miao Zheng"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CA",
    "math.CO",
    "math.NT"
  ],
  "abstract": "In the paper, the authors first inductively establish explicit formulas for derivatives of the arc sine function, then derive from these explicit formulas explicit expressions for a family of Bell polynomials related to the square function, and finally apply these explicit expressions to find explicit formulas for derivatives of some elementary functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-11T10:59:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B83",
      "26A06",
      "26A09",
      "26A24",
      "26C05",
      "26C99",
      "33B90"
    ],
    "keywords": [
      "bell polynomials",
      "derivatives",
      "explicit formulas explicit expressions",
      "first inductively establish explicit formulas",
      "arc sine function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.6734Q"
    }
  }
}