{
  "id": "1512.01121",
  "version": "v1",
  "published": "2015-12-03T15:45:45.000Z",
  "updated": "2015-12-03T15:45:45.000Z",
  "title": "New identities for finite sums of products of generalized hypergeometric functions",
  "authors": [
    "Runhuan Feng",
    "Alexey Kuznetsov",
    "Fenghao Yang"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "The list of known identities involving finite sums of products of hypergeometric functions is quite short. In this paper we extend the number of such results and we derive new families of identities for finite sums of products of two generalized hypergeometric (or two generalized q-hypergeometric) functions. The proof of these results is based on the non-local derangement identity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-03T15:45:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C20",
      "33D15"
    ],
    "keywords": [
      "finite sums",
      "generalized hypergeometric functions",
      "non-local derangement identity",
      "generalized q-hypergeometric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151201121F"
    }
  }
}