{
  "id": "0707.2898",
  "version": "v2",
  "published": "2007-07-19T13:35:00.000Z",
  "updated": "2008-03-03T15:10:12.000Z",
  "title": "Meromorphic solutions of higher order Briot-Bouquet differential equations",
  "authors": [
    "A. Eremenko",
    "L. W. Liao",
    "T. W. Ng"
  ],
  "journal": "Math. Proc. Cambridge Philos. Soc., v. 146, no. 1 (2009) 197-206",
  "doi": "10.1017/S030500410800176X",
  "categories": [
    "math.CA",
    "math.CV"
  ],
  "abstract": "For differential equations $P(y^{(k)},y)=0,$ where $P$ is a polynomial, we prove that all meromorphic solutions having at least one pole are elliptic functions, possibly degenerate.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-03-03T15:10:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34M05",
      "30D05"
    ],
    "keywords": [
      "higher order briot-bouquet differential equations",
      "meromorphic solutions",
      "elliptic functions",
      "polynomial",
      "possibly degenerate"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Mathematical Proceedings of the Cambridge Philosophical Society",
      "year": 2008,
      "month": "Jul",
      "volume": 146,
      "number": 1,
      "pages": 197
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008MPCPS.146..197E"
    }
  }
}