{
  "id": "2102.00033",
  "version": "v1",
  "published": "2021-01-29T19:24:45.000Z",
  "updated": "2021-01-29T19:24:45.000Z",
  "title": "On the functional equation for classical orthogonal polynomials on lattices",
  "authors": [
    "K. Castillo",
    "D. Mbouna",
    "J. Petronilho"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "Necessary and sufficient conditions for the regularity of solutions of the functional equation appearing in the theory of classical orthogonal polynomials on lattices are stated. Moreover, the functional Rodrigues formula and a closed formula for the recurrence coefficients are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-29T19:24:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C05",
      "33C45"
    ],
    "keywords": [
      "classical orthogonal polynomials",
      "functional rodrigues formula",
      "sufficient conditions",
      "recurrence coefficients",
      "functional equation appearing"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}