{
  "id": "math/0607122",
  "version": "v1",
  "published": "2006-07-05T12:10:54.000Z",
  "updated": "2006-07-05T12:10:54.000Z",
  "title": "A new multivariable 6-psi-6 summation formula",
  "authors": [
    "Michael Schlosser"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "By multidimensional matrix inversion, combined with an A_r extension of Jackson's 8-phi-7 summation formula by Milne, a new multivariable 8-phi-7 summation is derived. By a polynomial argument this 8-phi-7 summation is transformed to another multivariable 8-phi-7 summation which, by taking a suitable limit, is reduced to a new multivariable extension of the nonterminating 6-phi-5 summation. The latter is then extended, by analytic continuation, to a new multivariable extension of Bailey's very-well-poised 6-psi-6 summation formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-07-05T12:10:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D15"
    ],
    "keywords": [
      "summation formula",
      "multidimensional matrix inversion",
      "multivariable extension",
      "polynomial argument",
      "analytic continuation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7122S"
    }
  }
}