{
  "id": "2307.01360",
  "version": "v1",
  "published": "2023-07-03T21:30:29.000Z",
  "updated": "2023-07-03T21:30:29.000Z",
  "title": "Fuchsian differential equations of order 3,...,6 with three singular points and an accessory parameter II, Equations of order 3",
  "authors": [
    "Yoshishige Haraoka",
    "Hiroyuki Ochiai",
    "Takeshi Sasaki",
    "Masaaki Yoshida"
  ],
  "comment": "30 pages. arXiv admin note: substantial text overlap with arXiv:2111.11192",
  "categories": [
    "math.CA"
  ],
  "abstract": "Fuchsian differential equations of order 3 with three singular points and with an accessory parameter are studied. When local exponents are generic, no shift operator is found, for codimension-1 subfamilies, neither. We found shift operators for several codimension-2 subfamilies of which accessory parameter is assigned as a cubic polynomial in the local exponents. The Dotsenko-Fateev equation is one of them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-03T21:30:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A30",
      "34M35",
      "33C05",
      "33C20",
      "34M03"
    ],
    "keywords": [
      "fuchsian differential equations",
      "accessory parameter",
      "singular points",
      "local exponents",
      "shift operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}