{
  "id": "1702.03985",
  "version": "v1",
  "published": "2017-02-07T08:27:48.000Z",
  "updated": "2017-02-07T08:27:48.000Z",
  "title": "On a new identity for the H-function with applications to the summation of hypergeometric series",
  "authors": [
    "Arjun K. Rathie",
    "L. C. S. M. Ozelim",
    "P. N. Rathie"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CA",
    "math.CV"
  ],
  "abstract": "Using generalized hypergeometric functions to perform symbolic manipulation of equations is of great importance to pure and applied scientists. There are in the literature a great number of identities for the Meijer-G function. On the other hand, when more complex expressions arise, the latter function is not capable of representing them. The H-function is an alternative to overcome this issue, as it is a generalization of the Meijer-G function. In the present paper, a new identity for the H-function is derived. In short, this result enables one to split a particular H-function into the sum of two other H-functions. The new relation in addition to an old result are applied to the summation of hypergeometric series. Finally, some relations between H-functions and elementary functions are built",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-07T08:27:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C60",
      "33C20",
      "33C70"
    ],
    "keywords": [
      "hypergeometric series",
      "h-function",
      "applications",
      "meijer-g function",
      "perform symbolic manipulation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}