{
  "annotation_id": "5587bce0-9fc6-44db-b7f4-5518e823a6b0",
  "date_created": "2026-03-02T18:01:28.525000Z",
  "date_modified": "2026-03-02T18:01:28.525000Z",
  "file_hash": "5fc7772dceb9fa7d082bf03ee262424f06ac9a56a69bc5a23e2afa219d5541f2",
  "private": false,
  "record": {
    "abstract": "The five parameter family of multivariable Askey-Wilson polynomials is\nstudied with four parameters generically complex. The multivariable\nAskey-Wilson polynomials form an orthogonal system with respect to an explicit\n(in general complex) measure. A partially discrete orthogonality measure is\nobtained by shifting the contour to the torus while picking up residues. A\nparameter domain is given for which the partially discrete orthogonality\nmeasure is positive. The orthogonality relations and norm evaluations for\nmultivariable q-Racah polynomials and multivariable big and little q-Jacobi\npolynomials are proved by taking suitable limits in the orthogonality relations\nfor the multivariable Askey-Wilson polynomials. In particular new proofs of\nseveral well known q-analogues of the Selberg integral are obtained.",
    "arxiv_id": "q-alg/9707005",
    "authors": [
      "Jasper V. Stokman"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "On BC type basic hypergeometric orthogonal polynomials",
    "url": "https://arxiv.org/abs/q-alg/9707005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c6d559fd-1e7c-4d61-9d73-23f3d561df1f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}