{
  "id": "1010.4665",
  "version": "v1",
  "published": "2010-10-22T10:22:28.000Z",
  "updated": "2010-10-22T10:22:28.000Z",
  "title": "$Q_α$-Normal Families and entire functions",
  "authors": [
    "Shai Gul",
    "Shahar Nevo"
  ],
  "comment": "28 pages",
  "categories": [
    "math.CV",
    "math.LO"
  ],
  "abstract": "For every countable ordinal number $\\alpha$ we construct an entire function $f=f_\\alpha$ such that the family $\\left\\{f(nz):n\\in\\mathbb{N}\\right\\}$ is exactly $Q_\\alpha$-normal in the unit disk.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-22T10:22:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30D20",
      "30D30",
      "30D45",
      "03E10"
    ],
    "keywords": [
      "entire function",
      "normal families",
      "countable ordinal number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.4665G"
    }
  }
}