{
  "id": "1411.6796",
  "version": "v1",
  "published": "2014-11-25T10:29:50.000Z",
  "updated": "2014-11-25T10:29:50.000Z",
  "title": "A note on repelling periodic points for meromorphic functions with bounded set of singular values",
  "authors": [
    "Anna Miriam Benini"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $f$ be a meromorphic function with bounded set of singular values and for which infinity is a logarithmic singularity. Then we show that $f$ has infinitely many repelling periodic points for any minimal period $n\\geq1$, using a much simpler argument than the more general results for arbitrary entire transcendental functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-25T10:29:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "37F20"
    ],
    "keywords": [
      "repelling periodic points",
      "meromorphic function",
      "singular values",
      "bounded set",
      "arbitrary entire transcendental functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.6796B"
    }
  }
}