{
  "id": "1901.04840",
  "version": "v1",
  "published": "2019-01-04T00:47:08.000Z",
  "updated": "2019-01-04T00:47:08.000Z",
  "title": "Some Implications of the WP-Bailey Tree",
  "authors": [
    "James Mc Laughlin",
    "Peter Zimmer"
  ],
  "comment": "17 pages",
  "journal": "Advances in Applied Mathematics Volume 43, Issue 2, August 2009, Pages 162-175",
  "doi": "10.1016/j.aam.2009.02.001",
  "categories": [
    "math.NT"
  ],
  "abstract": "We consider a special case of a WP-Bailey chain of George Andrews, and use it to derive a number of curious transformations of basic hypergeometric series. We also derive two new WP-Bailey pairs, and use them to derive some additional new transformations for basic hypergeometric series. Finally, we briefly consider the implications of WP-Bailey pairs\\\\ $(\\alpha_n(a,k)$, $\\beta_n(a,k))$, in which $\\alpha_n(a,k)$ is independent of $k$, for generalizations of identities of the Rogers-Ramanujan type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-04T00:47:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D15",
      "11B65",
      "05A19"
    ],
    "keywords": [
      "wp-bailey tree",
      "basic hypergeometric series",
      "implications",
      "wp-bailey chain",
      "george andrews"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}