{
  "id": "1901.05890",
  "version": "v1",
  "published": "2019-01-05T00:20:08.000Z",
  "updated": "2019-01-05T00:20:08.000Z",
  "title": "General WP-Bailey Chains",
  "authors": [
    "James Mc Laughlin",
    "Peter Zimmer"
  ],
  "comment": "20 pages",
  "journal": "The Ramanujan Journal 22 (2010), no. 1, 11-31",
  "doi": "10.1007/s11139-010-9220-y",
  "categories": [
    "math.NT"
  ],
  "abstract": "Motivated by a recent paper of Liu and Ma, we describe a number of general WP-Bailey chains. We show that many of the existing WP-Bailey chains (or branches of the WP-Bailey tree), including chains found by Andrews, Warnaar and Liu and Ma, arise as special cases of these general WP-Bailey chains. We exhibit three new branches of the WP-Bailey tree, branches which also follow as special cases of these general WP-Bailey chains. Finally, we describe a number of new transformation formulae for basic hypergeometric series which arise as consequences of these new WP-Bailey chains.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-05T00:20:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D15",
      "11B65",
      "05A19"
    ],
    "keywords": [
      "general wp-bailey chains",
      "wp-bailey tree",
      "special cases",
      "basic hypergeometric series",
      "existing wp-bailey chains"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}