{
  "annotation_id": "eddc3cdc-f32a-4116-a348-14c9b04c1fae",
  "date_created": "2026-03-02T18:01:28.076000Z",
  "date_modified": "2026-03-02T18:01:28.076000Z",
  "file_hash": "4cf00c71c128b8446ab86aad79dc164be30cf167dc45f108900397d9649de06d",
  "private": false,
  "record": {
    "abstract": "The q-Legendre polynomials can be treated as some special \"functions in the\nquantum double cosets $U(1)\\setminus SU_q(2)/U(1)$\". They form a family\n(depending on a parameter $q$) of polynomials in one variable. We get their\nfurther generalization by introducing a two parameter family of polynomials. If\nthe former family arises from an algebra which is in a sense \"q-commutative\",\nthe latter one is related to its noncommutative counterpart. We introduce also\na two parameter deformation of the invariant integral on a sphere.",
    "arxiv_id": "q-alg/9712008",
    "authors": [
      "D. Gurevich",
      "L. Vainerman"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/31/7/011",
    "title": "Noncommutative analogues of q-special polynomials and q-integral on a   quantum sphere",
    "url": "https://arxiv.org/abs/q-alg/9712008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1302b81a-d529-4677-a575-fd2e09de09f5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}