{
  "id": "1207.5214",
  "version": "v1",
  "published": "2012-07-22T10:57:31.000Z",
  "updated": "2012-07-22T10:57:31.000Z",
  "title": "On the spherical derivative of a rational function",
  "authors": [
    "Matthew Barrett",
    "Alexandre Eremenko"
  ],
  "comment": "11 pages",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "For a rational function f we consider the norm of the derivative with respect to the spherical metric and denote by K(f) the supremum of this norm. We give estimates of this quantity K(f) both for an individual function and for sequences of iterates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-22T10:57:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30D99",
      "37F10"
    ],
    "keywords": [
      "rational function",
      "spherical derivative",
      "individual function",
      "spherical metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.5214B"
    }
  }
}