{
  "id": "0811.2870",
  "version": "v2",
  "published": "2008-11-18T09:38:24.000Z",
  "updated": "2009-02-18T11:20:58.000Z",
  "title": "Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function",
  "authors": [
    "Stamatis Koumandos",
    "Henrik L. Pedersen"
  ],
  "comment": "13 pages, to appear in Journal of Mathematical Analysis and Applications",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We introduce completely monotonic functions of order $r>0$ and show that the remainders in asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function give rise to completely monotonic functions of any positive integer order.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-02-18T11:20:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33B15",
      "41A60"
    ],
    "keywords": [
      "barnes double gamma function",
      "eulers gamma function",
      "monotonic functions",
      "asymptotic expansions",
      "positive order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.2870K"
    }
  }
}