{
  "annotation_id": "030687f1-96bc-47bd-b4bc-89ebe8aea600",
  "date_created": "2026-03-02T18:01:28.420000Z",
  "date_modified": "2026-03-02T18:01:28.420000Z",
  "file_hash": "e82acfe6ec42c9b93cda208bdc925b35d5ec2c35ba246014de3e2495474f7ee0",
  "private": false,
  "record": {
    "abstract": "We construct an integral representation of eigenfunctions for Macdonald\u0027s\n$q$-difference operator associated with the root system of type $C_n .$ It is\ngiven in terms of a restriction of a $q$-Jordan-Pochhammer integral. Choosing a\nsuitable cycle of the integral, we obtain an integral representation of a\nspecial case of the Macdonald polynomial for the root system of type $C_n .$",
    "arxiv_id": "q-alg/9712054",
    "authors": [
      "Katsuhisa Mimachi"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Eigenfunctions of Macdonald\u0027s $q$-difference operator for the root   system of type $C_n$",
    "url": "https://arxiv.org/abs/q-alg/9712054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d8de52f8-a49c-4b4a-91d1-d462a377583c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}