{
  "id": "1302.7249",
  "version": "v7",
  "published": "2013-02-28T16:39:26.000Z",
  "updated": "2014-05-18T11:47:33.000Z",
  "title": "The dynamics of semigroups of transcendental entire functions I",
  "authors": [
    "Dinesh Kumar",
    "Sanjay Kumar"
  ],
  "comment": "12 pages, accepted for publication in Indian J. Pure Appl. Math",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider the dynamics associated with an arbitrary semigroup of transcendental entire functions. Fatou-Julia theory is used to investigate the dynamics of these semigroups. Several results of the dynamics associated with iteration of a transcendental entire function have been extended to transcendental semigroup case. We also investigate the dynamics of conjugate semigroups, Abelian transcendental semigroups and wandering and Baker domains of transcendental semigroups.",
  "revisions": [
    {
      "version": "v7",
      "updated": "2014-05-18T11:47:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "30D05"
    ],
    "keywords": [
      "transcendental entire function",
      "transcendental semigroup case",
      "abelian transcendental semigroups",
      "conjugate semigroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.7249K"
    }
  }
}