{
  "id": "1705.09221",
  "version": "v1",
  "published": "2017-05-25T15:19:07.000Z",
  "updated": "2017-05-25T15:19:07.000Z",
  "title": "Hypergeometric and basic hypergeometric series and integrals associated with root systems",
  "authors": [
    "Michael J. Schlosser"
  ],
  "comment": "38 pages; modulo minor edits this text will appear as a chapter in the book \"Multivariable Special Functions\" (edited by Tom Koornwinder and Jasper Stokman) which is part of the new Askey-Bateman project",
  "categories": [
    "math.CA",
    "math.CO",
    "math.QA"
  ],
  "abstract": "We give an overview of some of the main results from the theories of hypergeometric and basic hypergeometric series and integrals associated with root systems. In particular, we list a number of summations, transformations and explicit evaluations for such multiple series and integrals. We concentrate on such results which do not directly extend to the elliptic level. This text is a provisional version of a chapter on hypergeometric and basic hypergeometric series and integrals associated with root systems for volume 2 of the new Askey--Bateman project which deals with \"Multivariable special functions\".",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-25T15:19:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D67",
      "33C67",
      "33D52"
    ],
    "keywords": [
      "basic hypergeometric series",
      "root systems",
      "explicit evaluations",
      "multiple series",
      "elliptic level"
    ],
    "tags": [
      "book chapter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}