{
  "id": "1407.4231",
  "version": "v1",
  "published": "2014-07-16T08:49:16.000Z",
  "updated": "2014-07-16T08:49:16.000Z",
  "title": "Some completely monotonic properties for the $(p,q )$-gamma function",
  "authors": [
    "Valmir Krasniqi",
    "Faton Merovci"
  ],
  "comment": "12 pages",
  "journal": "Mathematica Balkanica (N.S.)Vol. 26, 2012, Fasc. No 1-2",
  "categories": [
    "math.CA"
  ],
  "abstract": "It is defined $\\Gamma_{p,q}$ function, a generalize of $\\Gamma$ function. Also, we defined $\\psi_{p,q}$-analogue of the psi function as the log derivative of $\\Gamma_{p,q}$. For the $\\Gamma_{p,q}$ -function, are given some properties related to convexity, log-convexity and completely monotonic function. Also, some properties of $\\psi_{p,q} $ analog of the $\\psi$ function have been established. As an application, when $p\\to \\infty, q\\to 1,$ we obtain all result of \\cite{Valmir1} and \\cite{SHA}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-16T08:49:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33B15",
      "26A51",
      "26A48"
    ],
    "keywords": [
      "gamma function",
      "monotonic properties",
      "monotonic function",
      "psi function"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.4231K"
    }
  }
}