{
  "id": "1307.5785",
  "version": "v2",
  "published": "2013-07-22T17:13:07.000Z",
  "updated": "2014-05-18T11:35:36.000Z",
  "title": "On dynamics of composite entire functions and singularities",
  "authors": [
    "Dinesh Kumar",
    "Sanjay Kumar"
  ],
  "comment": "7 pages, accepted for publication in Bull. Cal. Math. Soc",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider the dynamical properties of transcendental entire functions and their compositions. We give several conditions under which Fatou set of a transcendental entire function $f$ coincide with that of $f\\circ g,$ where $g$ is another transcendental entire function. We also prove some result giving relationship between singular values of transcendental entire functions and their compositions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-18T11:35:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "30D05"
    ],
    "keywords": [
      "transcendental entire function",
      "composite entire functions",
      "singularities",
      "result giving relationship",
      "fatou set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.5785K"
    }
  }
}