{
  "id": "1205.6144",
  "version": "v2",
  "published": "2012-05-28T15:44:26.000Z",
  "updated": "2013-02-18T04:06:47.000Z",
  "title": "The Holonomic Rank of the Fisher-Bingham System of Differential Equations",
  "authors": [
    "Tamio Koyama",
    "Hiromasa Nakayama",
    "Kenta Nishiyama",
    "Nobuki Takayama"
  ],
  "comment": "15 pages",
  "categories": [
    "math.CA",
    "math.QA"
  ],
  "abstract": "The Fisher-Bingham system is a system of linear partial differential equations satisfied by the Fisher-Bingham integral for the $n$-dimensional sphere $S^n$. The system is given in [Nakayama et al. (2011), Theorem 2] and it is shown that it is a holonomic system [Koyama]. We show that the holonomic rank of the system is equal to $2n+2$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-18T04:06:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "holonomic rank",
      "fisher-bingham system",
      "linear partial differential equations",
      "fisher-bingham integral",
      "dimensional sphere"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.6144K"
    }
  }
}