{
  "id": "0904.4027",
  "version": "v1",
  "published": "2009-04-26T14:04:11.000Z",
  "updated": "2009-04-26T14:04:11.000Z",
  "title": "More supplements to a class of logarithmically completely monotonic functions associated with the gamma function",
  "authors": [
    "Senlin Guo",
    "Feng Qi"
  ],
  "comment": "8 pages",
  "journal": "Senlin Guo, Feng Qi, and H. M. Srivastava, A class of logarithmically completely monotonic functions related to the gamma function with applications, Integral Transforms and Special Functions 23 (2012), no. 8, 557--566",
  "doi": "10.1080/10652469.2011.611331",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this article, a necessary and sufficient condition and a necessary condition are established for a function involving the gamma function to be logarithmically completely monotonic on $(0,\\infty)$. As applications of the necessary and sufficient condition, some inequalities for bounding the psi and polygamma functions and the ratio of two gamma functions are derived.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-26T14:04:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33B15",
      "26A48",
      "26A51",
      "26D20",
      "65R10"
    ],
    "keywords": [
      "monotonic functions",
      "supplements",
      "sufficient condition",
      "necessary condition"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Computational and Applied Mathematics",
      "year": 2009,
      "month": "Feb",
      "volume": 224,
      "number": 1,
      "pages": 127
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JCoAM.224..127G"
    }
  }
}