{
  "id": "1210.0046",
  "version": "v2",
  "published": "2012-09-28T21:47:32.000Z",
  "updated": "2015-09-07T10:38:27.000Z",
  "title": "On functional inequalities for the psi function",
  "authors": [
    "Barkat Ali Bhayo"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this note we study the monotonicity of the function $x\\mapsto \\psi(1 +bx)^a/\\psi(1 + ax)^b$. We also give the several inequalities involving the psi function, whic is the logarithmic derivative of the gamma function.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2015-09-07T10:38:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33B15"
    ],
    "keywords": [
      "psi function",
      "functional inequalities",
      "gamma function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.0046B"
    }
  }
}