{
  "id": "1104.4736",
  "version": "v2",
  "published": "2011-04-25T15:22:12.000Z",
  "updated": "2011-06-14T09:22:05.000Z",
  "title": "On quotients and differences of hypergeometric functions",
  "authors": [
    "Slavko Simić",
    "Matti Vuorinen"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "For Gaussian hypergeometric functions $F(x)= F(a,b;c;x),$ $a,b,c>0,$ we consider the quotient $ Q_F(x,y)= (F(x)+F(y))/F(z)$ and the difference $ D_F(x,y)= F(x)+F(y)-F(z)$ for $0<x,y<1$ with $z=x+y-xy \\,.$ We give best possible bounds for both expressions under various hypotheses about the parameter triple $(a,b;c)\\,.$",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-06-14T09:22:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D06",
      "33C05"
    ],
    "keywords": [
      "difference",
      "gaussian hypergeometric functions",
      "parameter triple"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.4736S"
    }
  }
}