{
  "id": "1406.2453",
  "version": "v3",
  "published": "2014-06-10T07:54:49.000Z",
  "updated": "2015-03-10T10:03:19.000Z",
  "title": "On escaping sets of some families of entire functions and dynamics of composite entire functions",
  "authors": [
    "D. Kumar"
  ],
  "comment": "8 pages. Accepted in Math Student. arXiv admin note: text overlap with arXiv:1401.0425",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider two families of functions $\\mathcal F=\\{f_{{\\la},{\\xi}}(z)= e^{-z+\\la}+\\xi: \\la,\\,\\xi\\in\\C, \\RE{\\la}<0, \\RE\\xi\\geq 1\\}$ and $\\mathcal F'=\\{f_{{\\mu},{\\ze}}(z)= e^{z+\\mu}+\\ze: \\mu,\\,\\ze\\in\\C, \\RE{\\mu}<0, \\RE\\ze\\leq-1\\}$ and investigate the escaping sets of members of the family $\\mathcal F$ and $\\mathcal F'.$ We also consider the dynamics of composite entire functions and provide conditions for equality of escaping sets of two transcendental entire functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-12T09:42:06.000Z",
      "comment": "8 pages. Comments are welcome. arXiv admin note: text overlap with arXiv:1401.0425",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-03-10T10:03:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30D35",
      "30D05",
      "37F10"
    ],
    "keywords": [
      "composite entire functions",
      "escaping sets",
      "transcendental entire functions",
      "conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.2453K"
    }
  }
}