{
  "id": "1701.02768",
  "version": "v1",
  "published": "2017-01-10T19:49:03.000Z",
  "updated": "2017-01-10T19:49:03.000Z",
  "title": "A Generalization of the Chu-Vandermonde Convolution and some Harmonic Number Identities",
  "authors": [
    "M. J. Kronenburg"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "A generalization of the Chu-Vandermonde convolution is presented and proved with the integral representation method. This identity can be transformed into another identity, which has as special cases two known identities. Another identity that is closely related to this identity is presented and proved. Some corresponding harmonic number identities are derived, which have as special cases some known harmonic number identities. For one combinatorial sum a recursion formula is derived and used to compute a few examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-10T19:49:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chu-vandermonde convolution",
      "generalization",
      "special cases",
      "integral representation method",
      "corresponding harmonic number identities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}