{
  "id": "1409.3932",
  "version": "v1",
  "published": "2014-09-13T09:54:57.000Z",
  "updated": "2014-09-13T09:54:57.000Z",
  "title": "Padé interpolation to $q$-Painlevé equations",
  "authors": [
    "Hidehito Nagao"
  ],
  "comment": "15 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We set up some interpolation problems related to $q$-Painlev\\'e equations of types from $E_7^{(1)}$ to $(A_2+A_1)^{(1)}$. By solving the interpolation problems, we derive the evolution equations, the scalar Lax pairs and the determinant formulae of special solutions for the corresponding $q$-Painlev\\'e equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-13T09:54:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D15",
      "34M55",
      "39A13",
      "41A21"
    ],
    "keywords": [
      "painleve equations",
      "scalar lax pairs",
      "evolution equations",
      "determinant formulae",
      "special solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s11005-015-0749-y",
      "journal": "Letters in Mathematical Physics",
      "year": 2015,
      "month": "Apr",
      "pages": 503,
      "volume": 105,
      "number": 4
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015LMaPh.105..503N"
    }
  }
}