{
  "id": "1303.1582",
  "version": "v1",
  "published": "2013-03-07T00:49:41.000Z",
  "updated": "2013-03-07T00:49:41.000Z",
  "title": "Complete monotonicity of a difference between the exponential and trigamma functions",
  "authors": [
    "Feng Qi",
    "Xiao-Jing Zhang"
  ],
  "comment": "4 pages",
  "journal": "Journal of the Korea Society of Mathematical Education Series B: Pure and Applied Mathematics 21 (2014), no. 2, 141--145",
  "doi": "10.7468/jksmeb.2014.21.2.141",
  "categories": [
    "math.CA"
  ],
  "abstract": "In the paper, by directly verifying an inequality which gives a lower bound for the first order modified Bessel function of the first kind, the authors supply a new proof for the complete monotonicity of a difference between the exponential function $e^{1/t}$ and the trigamma function $\\psi'(t)$ on $(0,\\infty)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-07T00:49:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A48",
      "33B10",
      "33C10",
      "26A12",
      "26D07",
      "33B15",
      "33C20",
      "44A10"
    ],
    "keywords": [
      "trigamma function",
      "complete monotonicity",
      "difference",
      "first order modified bessel function",
      "first kind"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}