{
  "id": "1510.03459",
  "version": "v1",
  "published": "2015-10-06T06:27:09.000Z",
  "updated": "2015-10-06T06:27:09.000Z",
  "title": "Some inequalities for the $q$-Extension of the Gamma Function",
  "authors": [
    "Kwara Nantomah",
    "Edward Prempeh",
    "Stephen Boakye Twum"
  ],
  "comment": "Submitted to a journal",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper, the authors establish some inequalities involving the $q$-extension of the classical Gamma function. These inequalities provide bounds for certain ratios of the $q$-extended Gamma function. The procedure makes use of geometric convexity and monotonicy properties of certain functions associated with the $q$-extended Gamma function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-06T06:27:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33B15",
      "33D05"
    ],
    "keywords": [
      "inequalities",
      "extended gamma function",
      "classical gamma function",
      "geometric convexity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151003459N"
    }
  }
}