{
  "id": "math/0206032",
  "version": "v1",
  "published": "2002-06-05T03:36:33.000Z",
  "updated": "2002-06-05T03:36:33.000Z",
  "title": "Inversion of bilateral basic hypergeometric series",
  "authors": [
    "Michael Schlosser"
  ],
  "comment": "AMS-LaTeX, 23 pages",
  "journal": "Electron. J. Combin. 10 (2003), #R10, 27 pp.",
  "categories": [
    "math.CA",
    "math.CO"
  ],
  "abstract": "We present a new matrix inverse with applications in the theory of bilateral basic hypergeometric series. Our matrix inversion result is 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. We combine our bilateral matrix inverse with known basic hypergeometric summation theorems to derive, via inverse relations, several new identities for bilateral basic hypergeometric series.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-06-05T03:36:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D15",
      "15A09"
    ],
    "keywords": [
      "bilateral basic hypergeometric series",
      "basic hypergeometric summation theorems",
      "matrix inversion result",
      "bilateral matrix inverse",
      "infinite matrices"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......6032S"
    }
  }
}