{
  "id": "1104.1411",
  "version": "v2",
  "published": "2011-04-07T19:32:51.000Z",
  "updated": "2012-01-07T03:26:31.000Z",
  "title": "A Holonomic Ideal Annihilating the Fisher-Bingham Integral",
  "authors": [
    "Tamio Koyama"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We calculate the integration ideal of annihilating differential operators of the non-normalized Fisher-Bingham distribution and show that the ideal agrees with the set of operators for the Fisher-Bingham integral given in \"Holonomic Gradient Descent and its Application to the Fisher-Bingham Integral\". They conjectured that the set generates a holonomic ideal and we prove their conjecture.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-01-07T03:26:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16S32",
      "16Z99",
      "33F10",
      "32C38",
      "66H11",
      "16F10"
    ],
    "keywords": [
      "fisher-bingham integral",
      "holonomic ideal annihilating",
      "holonomic gradient descent",
      "integration ideal",
      "annihilating differential operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.1411K"
    }
  }
}