{
  "id": "math/0007046",
  "version": "v2",
  "published": "2000-07-08T02:37:32.000Z",
  "updated": "2000-10-16T06:57:00.000Z",
  "title": "A simple proof of Bailey's very-well-poised 6-psi-6 summation",
  "authors": [
    "M. Schlosser"
  ],
  "comment": "LaTeX2e, 10 pages, submitted to Proc. AMS, revised version, proofs of 1-psi-1 and 2-H-2 summations included",
  "categories": [
    "math.CA",
    "math.CO",
    "math.QA"
  ],
  "abstract": "We give elementary derivations of some classical summation formulae for bilateral (basic) hypergeometric series. In particular, we apply Gauss' 2-F-1 summation and elementary series manipulations to give a simple proof of Dougall's 2-H-2 summation. Similarly, we apply Rogers' nonterminating 6-phi-5 summation and elementary series manipulations to give a simple proof of Bailey's very-well-poised 6-psi-6 summation. Our method of proof extends M. Jackson's first elementary proof of Ramanujan's 1-psi-1 summation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-10-16T06:57:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D15"
    ],
    "keywords": [
      "simple proof",
      "elementary series manipulations",
      "jacksons first elementary proof",
      "elementary derivations"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......7046S"
    }
  }
}