{
  "id": "math/0612153",
  "version": "v1",
  "published": "2006-12-06T13:43:56.000Z",
  "updated": "2006-12-06T13:43:56.000Z",
  "title": "Rational Solution of the KZ equation (example)",
  "authors": [
    "Andrey Tydnyuk"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We investigate the Knizhnik-Zamolodchikov linear differential system. The coefficients of this system are rational functions. We prove that the solution of the KZ system is rational when $k$ is equal to two and $n$ is equal to three. While doing so, we found the coefficients of expansion in a neighborhood of a singular point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-06T13:43:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34M05",
      "34M55",
      "47B38"
    ],
    "keywords": [
      "kz equation",
      "rational solution",
      "knizhnik-zamolodchikov linear differential system",
      "coefficients",
      "rational functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12153T"
    }
  }
}