{
  "id": "1312.5777",
  "version": "v2",
  "published": "2013-12-19T23:10:30.000Z",
  "updated": "2014-07-17T16:13:21.000Z",
  "title": "HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: $F_D$ and $F_S$ Horn-type hypergeometric functions of three variables",
  "authors": [
    "Vladimir V. Bytev",
    "Mikhail Yu. Kalmykov",
    "Sven-Olaf Moch"
  ],
  "categories": [
    "math-ph",
    "cs.SC",
    "hep-ph",
    "hep-th",
    "math.MP"
  ],
  "abstract": "HYPERDIRE is a project devoted to the creation of a set of Mathematica based programs for the differential reduction of hypergeometric functions. The current version includes two parts: the first one, FdFunction, for manipulations with Appell hypergeometric functions $F_D$ of $r$ variables; and the second one, FsFunction, for manipulations with Lauricella-Saran hypergeometric functions $F_S$ of three variables. Both functions are related with one-loop Feynman diagrams.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-17T16:13:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hypergeometric functions differential reduction",
      "horn-type hypergeometric functions",
      "generalized hypergeometric functions",
      "mathematica",
      "appell hypergeometric functions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.cpc.2014.07.014",
      "journal": "Computer Physics Communications",
      "year": 2014,
      "month": "Nov",
      "volume": 185,
      "number": 11,
      "pages": 3041
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1273460,
      "adsabs": "2014CoPhC.185.3041B"
    }
  }
}