{
  "id": "math/0412038",
  "version": "v1",
  "published": "2004-12-02T01:52:33.000Z",
  "updated": "2004-12-02T01:52:33.000Z",
  "title": "An elliptic generalization of Schur's Pfaffian identity",
  "authors": [
    "Soichi Okada"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CA",
    "math.CO"
  ],
  "abstract": "We present a Pfaffian identity involving elliptic functions, whose rational limit gives a generalization of Schur's Pfaffian identity for Pf ((x_j - x_i)/(x_j + x_i)). This identity is regarded as a Pfaffian counterpart of Frobenius identity, which is an elliptic generalization of Cauchy's determinant identity for det (1/ (x_i + x_j)).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-02T01:52:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33E05",
      "05E05",
      "15A15"
    ],
    "keywords": [
      "schurs pfaffian identity",
      "elliptic generalization",
      "cauchys determinant identity",
      "rational limit",
      "elliptic functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12038O"
    }
  }
}