{
  "id": "1303.1877",
  "version": "v2",
  "published": "2013-03-08T02:55:23.000Z",
  "updated": "2015-04-25T08:51:18.000Z",
  "title": "A logarithmically completely monotonic function involving the ratio of gamma functions",
  "authors": [
    "Feng Qi",
    "Wen-Hui Li"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CA",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "In the paper, the authors concisely survey and review some functions involving the gamma function and its various ratios, simply state their logarithmically complete monotonicity and related results, and find necessary and sufficient conditions for a new function involving the ratio of two gamma functions and originating from the coding gain to be logarithmically completely monotonic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-08T02:55:23.000Z",
      "title": "A logarithmically completely monotonic function involving the ratio of two gamma functions and originating from the coding gain",
      "abstract": "In the paper, the authors first survey and review some logarithmically completely monotonic functions involving the gamma function and its various ratios, and then find sufficient conditions for a function involving the ratio of two gamma functions and originating from the coding gain to be logarithmically completely monotonic.",
      "comment": "7 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-04-25T08:51:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A48",
      "33B15",
      "65R10"
    ],
    "keywords": [
      "gamma function",
      "monotonic function",
      "coding gain",
      "authors first survey"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.1877Q"
    }
  }
}