{
  "id": "1605.02776",
  "version": "v1",
  "published": "2016-05-02T11:57:31.000Z",
  "updated": "2016-05-02T11:57:31.000Z",
  "title": "Chebychev interpolations of the Gamma and Polygamma Functions and their analytical properties",
  "authors": [
    "Karl Dieter Reinartz"
  ],
  "comment": "13 pages, 7 figures, 5 tables",
  "categories": [
    "math.CA"
  ],
  "abstract": "Chebychev approximations are given for the Gamma and the Polygamma functions in only one contiguous intervall [1..inf] with a definable maximal relative error. The approximations need about three coefficients per decimal until a checked precision of 100 decimal digits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-02T11:57:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33B15"
    ],
    "keywords": [
      "polygamma functions",
      "chebychev interpolations",
      "analytical properties",
      "chebychev approximations",
      "definable maximal relative error"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}