{
  "id": "math/0305379",
  "version": "v1",
  "published": "2003-05-27T09:05:07.000Z",
  "updated": "2003-05-27T09:05:07.000Z",
  "title": "New transformations for elliptic hypergeometric series on the root system An",
  "authors": [
    "Hjalmar Rosengren"
  ],
  "comment": "10 pages",
  "journal": "Ramanujan J. 12 (2006), 155-166",
  "categories": [
    "math.CA",
    "math.QA"
  ],
  "abstract": "Recently, Kajihara gave a Bailey-type transformation relating basic hypergeometric series on the root system An, with different dimensions n. We give, with a new, elementary, proof, an elliptic analogue of this transformation. We also obtain further Bailey-type transformations as consequences of our result, some of which are new also in the case of basic and classical hypergeometric series.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-05-27T09:05:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D67",
      "11F50"
    ],
    "keywords": [
      "elliptic hypergeometric series",
      "root system",
      "bailey-type transformation relating basic hypergeometric",
      "transformation relating basic hypergeometric series",
      "classical hypergeometric series"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......5379R"
    }
  }
}