{
  "id": "2307.01358",
  "version": "v1",
  "published": "2023-07-03T21:15:32.000Z",
  "updated": "2023-07-03T21:15:32.000Z",
  "title": "Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter I, Equations of order 6",
  "authors": [
    "Yoshishige Haraoka",
    "Hiroyuki Ochiai",
    "Takeshi Sasaki",
    "Masaaki Yoshida"
  ],
  "comment": "61 pages, no figure. arXiv admin note: substantial text overlap with arXiv:2111.11192",
  "categories": [
    "math.CA"
  ],
  "abstract": "Fuchsian differential equations $H_j$ of order $j=3,\\dots,6$ with three singular points and one accessory parameter are presented. The shift operators for $H_6$ are studied, which lead to assign the accessory parameter of $H_6$ a cubic polynomial of local exponents so that the equations have nice properties: shift operators and several symmetries. The other equations will be studied in the forthcoming papers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-03T21:15:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A30",
      "34M35",
      "33C05",
      "33C20",
      "34M03"
    ],
    "keywords": [
      "fuchsian differential equations",
      "accessory parameter",
      "singular points",
      "shift operators",
      "local exponents"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 61,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}