{
  "id": "0904.1118",
  "version": "v2",
  "published": "2009-04-07T11:43:42.000Z",
  "updated": "2010-07-10T03:09:54.000Z",
  "title": "Some properties of extended remainder of Binet's first formula for logarithm of gamma function",
  "authors": [
    "Feng Qi",
    "Bai-Ni Guo"
  ],
  "comment": "8 pages",
  "journal": "Feng Qi and Bai-Ni Guo, Some properties of extended remainder of Binet's first formula for logarithm of gamma function, Mathematica Slovaca 60 (2010), no. 4, 461--470",
  "doi": "10.2478/s12175-010-0025-7",
  "categories": [
    "math.CA"
  ],
  "abstract": "In the paper, we extend Binet's first formula for the logarithm of the gamma function and investigate some properties, including inequalities, star-shaped and sub-additive properties and the complete monotonicity, of the extended remainder of Binet's first formula for the logarithm of the gamma function and related functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-07-10T03:09:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A48",
      "26A51",
      "33B15"
    ],
    "keywords": [
      "gamma function",
      "extended remainder",
      "extend binets first formula",
      "complete monotonicity",
      "inequalities"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.1118Q"
    }
  }
}