{
  "id": "math/0103024",
  "version": "v1",
  "published": "2001-03-05T19:10:28.000Z",
  "updated": "2001-03-05T19:10:28.000Z",
  "title": "A multidimensional generalization of Shukla's 8-psi-8 summation",
  "authors": [
    "Michael Schlosser"
  ],
  "comment": "16 pages, AMS-LaTeX",
  "journal": "Constr. Approx. 19 (2003), 163-178",
  "categories": [
    "math.CA",
    "math.CO",
    "math.QA"
  ],
  "abstract": "We give an r-dimensional generalization of H. S. Shukla's very-well-poised 8-psi-8 summation formula. We work in the setting of multiple basic hypergeometric series very-well-poised over the root system A_{r-1}, or equivalently, the unitary group U(r). Our proof, which is already new in the one-dimensional case, utilizes an A_{r-1} nonterminating very-well-poised 6-phi-5 summation by S. C. Milne, a partial fraction decomposition, and analytic continuation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-03-05T19:10:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D15",
      "33D67"
    ],
    "keywords": [
      "multidimensional generalization",
      "partial fraction decomposition",
      "multiple basic hypergeometric series",
      "r-dimensional generalization",
      "summation formula"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......3024S"
    }
  }
}