{
  "id": "2206.13893",
  "version": "v1",
  "published": "2022-06-28T11:19:32.000Z",
  "updated": "2022-06-28T11:19:32.000Z",
  "title": "A class of special functions using Fourier transforms of orthogonal polynomials on the unit ball",
  "authors": [
    "Esra Güldoğan Lekesiz",
    "Rabia Aktaş"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "The aim of this paper is to obtain Fourier transform of multivariate orthogonal polynomials on the unit ball and to define a new family of multivariate orthogonal functions by using the Parseval's identity. Furthermore, we present the obtained results in terms of the continuous Hahn polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-28T11:19:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C50",
      "33C70",
      "33C45"
    ],
    "keywords": [
      "unit ball",
      "fourier transform",
      "special functions",
      "multivariate orthogonal polynomials",
      "multivariate orthogonal functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}