{
  "annotation_id": "b6b56bf3-ecf8-43f9-ad75-3eee26a0521c",
  "date_created": "2026-03-02T18:01:28.582000Z",
  "date_modified": "2026-03-02T18:01:28.582000Z",
  "file_hash": "a010bf3b01a3f8ae02b3842a3fc7d2a64498a6e0736ee7df43ed8b7b51369b32",
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  "record": {
    "abstract": "Elementary properties of the Koornwinder-Macdonald multivariable Askey-Wilson\npolynomials are discussed. Studied are the orthogonality, the difference\nequations, the recurrence relations, and the orthonormalization constants for\nthese polynomials. Essential in our approach are certain commuting difference\noperators simultaneously diagonalized by the polynomials.",
    "arxiv_id": "q-alg/9604003",
    "authors": [
      "J. F. van Diejen"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1023/A:1007377231440",
    "journal_ref": "Lett. Math. Phys. 39 (1997), 341--347",
    "title": "Commuting difference operators with applications to orthogonal   polynomials in several variables",
    "url": "https://arxiv.org/abs/q-alg/9604003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a056a1e8-ad49-4ade-848c-2bff07208255",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}