{
  "id": "2101.04059",
  "version": "v1",
  "published": "2020-12-26T18:46:15.000Z",
  "updated": "2020-12-26T18:46:15.000Z",
  "title": "Fourier transforms of some special functions in terms of orthogonal polynomials on the simplex and continuous Hahn polynomials",
  "authors": [
    "Esra Güldoğan-Lekesiz",
    "Rabia Aktaş",
    "Iván Area"
  ],
  "comment": "24 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper Fourier transform of multivariate orthogonal polynomials on the simplex is presented. A new family of multivariate orthogonal functions is obtained by using the Parseval's identity and several recurrence relations are derived.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-26T18:46:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C50",
      "33C45"
    ],
    "keywords": [
      "continuous hahn polynomials",
      "special functions",
      "paper fourier transform",
      "multivariate orthogonal polynomials",
      "multivariate orthogonal functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}