{
  "id": "1410.2747",
  "version": "v1",
  "published": "2014-10-10T11:34:05.000Z",
  "updated": "2014-10-10T11:34:05.000Z",
  "title": "Escaping set and Julia set of transcendental semigroups",
  "authors": [
    "Dinesh Kumar",
    "Sanjay Kumar"
  ],
  "comment": "8 pages, work in progress. Comments are welcome",
  "categories": [
    "math.DS"
  ],
  "abstract": "We discuss the dynamics of an arbitrary semigroup of transcendental entire functions using Fatou-Julia theory and provide some condition for the complete invariance of escaping set and Julia set of transcendental semigroups. Some results on limit functions and postsingular set have been discussed. A class of hyperbolic transcendental semigroups and semigroups having no wandering domains have also been provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-10T11:34:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "30D05"
    ],
    "keywords": [
      "julia set",
      "escaping set",
      "hyperbolic transcendental semigroups",
      "transcendental entire functions",
      "fatou-julia theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.2747K"
    }
  }
}