{
  "id": "math/0207046",
  "version": "v1",
  "published": "2002-07-04T13:49:14.000Z",
  "updated": "2002-07-04T13:49:14.000Z",
  "title": "Elliptic hypergeometric series on root systems",
  "authors": [
    "Hjalmar Rosengren"
  ],
  "comment": "27 pages",
  "journal": "Adv. Math. 181 (2004), 417-447",
  "categories": [
    "math.CA",
    "math.QA"
  ],
  "abstract": "We derive a number of summation and transformation formulas for elliptic hypergeometric series on the root systems A_n, C_n and D_n. In the special cases of classical and q-series, our approach leads to new elementary proofs of the corresponding identities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-07-04T13:49:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D67",
      "11F50"
    ],
    "keywords": [
      "elliptic hypergeometric series",
      "root systems",
      "elementary proofs",
      "special cases",
      "transformation formulas"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......7046R"
    }
  }
}