{
  "id": "1312.5881",
  "version": "v1",
  "published": "2013-12-20T10:42:50.000Z",
  "updated": "2013-12-20T10:42:50.000Z",
  "title": "Asymptotic formulas and inequalities for gamma function in terms of tri-gamma function",
  "authors": [
    "Cristinel Mortici",
    "Feng Qi"
  ],
  "comment": "6 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In the paper, the authors establish some asymptotic formulas and double inequalities for the factorial $n!$ and the gamma function $\\Gamma$ in terms of the tri-gamma function $\\psi'$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-20T10:42:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D15",
      "33B15",
      "41A10"
    ],
    "keywords": [
      "asymptotic formulas",
      "tri-gamma function",
      "double inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.5881M"
    }
  }
}