{
  "id": "1105.4928",
  "version": "v2",
  "published": "2011-05-25T04:20:59.000Z",
  "updated": "2011-12-28T04:26:23.000Z",
  "title": "Complete monotonicity of a function involving the $p$-psi function and alternative proofs",
  "authors": [
    "Valmir Krasniqi",
    "Feng Qi"
  ],
  "comment": "5 pages",
  "journal": "Global Journal of Mathematical Analysis 2 (2014), no. 3, 204--208",
  "doi": "10.14419/gjma.v2i3.3096",
  "categories": [
    "math.CA"
  ],
  "abstract": "In the paper the authors alternatively prove that the function $x^\\alpha\\big[\\ln\\frac{px}{x+p+1}-\\psi_p(x)\\big]$ is completely monotonic on $(0,\\infty)$ if and only if $\\alpha \\le 1$, where $p\\in\\mathbb{N}$ and $\\psi_p(x)$ is the $p$-analogue of the classical psi function $\\psi(x)$. This generalizes a known result.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-12-28T04:26:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D05",
      "26A48",
      "33B15",
      "33E50"
    ],
    "keywords": [
      "complete monotonicity",
      "alternative proofs",
      "classical psi function",
      "generalizes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.4928K"
    }
  }
}