{
  "id": "2410.14068",
  "version": "v1",
  "published": "2024-10-17T22:35:50.000Z",
  "updated": "2024-10-17T22:35:50.000Z",
  "title": "$q$-Hypergeometric orthogonal polynomials with $q=-1$",
  "authors": [
    "Luis Verde-Star"
  ],
  "comment": "14 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We obtain some properties of a class of $q$-hypergeometric orthogonal polynomials with $q=-1$, described by a uniform parametrization of the recurrence coefficients. We show that our class contains the Bannai-Ito polynomials and other known -1 polynomials. We introduce some new examples of -1 polynomials and also obtain matrix realizations of the Bannai-Ito algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-17T22:35:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C45",
      "33D45"
    ],
    "keywords": [
      "hypergeometric orthogonal polynomials",
      "bannai-ito algebra",
      "matrix realizations",
      "uniform parametrization",
      "bannai-ito polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}