{
  "id": "math/0608742",
  "version": "v1",
  "published": "2006-08-30T00:04:22.000Z",
  "updated": "2006-08-30T00:04:22.000Z",
  "title": "Multilateral inversion of A_r, C_r and D_r basic hypergeometric series",
  "authors": [
    "Michael J. Schlosser"
  ],
  "comment": "24 pages",
  "categories": [
    "math.CA",
    "math.CO"
  ],
  "abstract": "In [Electron. J. Combin. 10 (2003), #R10], the author presented a new basic hypergeometric matrix inverse with applications to bilateral basic hypergeometric series. This matrix inversion result was directly extracted from an instance of Bailey's very-well-poised 6-psi-6 summation theorem, and involves two infinite matrices which are not lower-triangular. The present paper features three different multivariable generalizations of the above result. These are extracted from Gustafson's A_r and C_r extensions and of the author's recent A_r extension of Bailey's 6-psi-6 summation formula. By combining these new multidimensional matrix inverses with A_r and D_r extensions of Jackson's 8-phi-7 summation theorem three balanced very-well-poised 8-psi-8 summation theorems associated with the root systems A_r and C_r are derived.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-30T00:04:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D67",
      "15A09",
      "33D15"
    ],
    "keywords": [
      "multilateral inversion",
      "summation theorem",
      "bilateral basic hypergeometric series",
      "basic hypergeometric matrix inverse",
      "matrix inversion result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8742S"
    }
  }
}