{
  "id": "math/0501242",
  "version": "v1",
  "published": "2005-01-15T14:22:44.000Z",
  "updated": "2005-01-15T14:22:44.000Z",
  "title": "Semi-Finite Forms of Bilateral Basic Hypergeometric Series",
  "authors": [
    "William Y. C. Chen",
    "Amy M. Fu"
  ],
  "comment": "8 pages. accepted by Proc. Amer. Math. Soc",
  "categories": [
    "math.CA",
    "math.CO"
  ],
  "abstract": "We show that several classical bilateral summation and transformation formulas have semi-finite forms. We obtain these semi-finite forms from unilateral summation and transformation formulas. Our method can be applied to derive Ramanujan's $_1\\psi_1$ summation, Bailey's $_2\\psi_2$ transformations, and Bailey's $_6\\psi_6$ summation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-15T14:22:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D15",
      "05A30"
    ],
    "keywords": [
      "bilateral basic hypergeometric series",
      "semi-finite forms",
      "transformation formulas",
      "classical bilateral summation",
      "unilateral summation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1242C"
    }
  }
}