{
  "id": "2306.11381",
  "version": "v1",
  "published": "2023-06-20T08:40:07.000Z",
  "updated": "2023-06-20T08:40:07.000Z",
  "title": "Computation of the Wright function from its integral representation",
  "authors": [
    "Dimiter Prodanov"
  ],
  "comment": "10 pages; 4 figures",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "The Wright function arises in the theory of the fractional differential equations. It is a very general mathematical object having diverse connections with other special and elementary functions. The Wright function provides a unified treatment of several classes of special functions, such as the Gaussian, Airy, Bessel, error functions, etc. The manuscript presents a novel numerical technique for approximation of the Wright function using quadratures. The algorithm is implemented as a standalone library using the double-exponential quadrature integration technique using the method of stationary phase. Function plots for a variety of parameter values are demonstrated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-20T08:40:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65D20",
      "33C10"
    ],
    "keywords": [
      "integral representation",
      "computation",
      "double-exponential quadrature integration technique",
      "wright function arises",
      "fractional differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}