{
  "annotation_id": "13ce98e7-a029-4b18-8112-ca1bcef40ec6",
  "date_created": "2026-03-02T18:02:50.899000Z",
  "date_modified": "2026-03-02T18:02:50.899000Z",
  "file_hash": "5101c5372ac6c78b3eedc66b1a3d1343fbffb126f8b7568654c3d516968f1593",
  "private": false,
  "record": {
    "abstract": "We discuss the symmetric homogeneous polynomial solutions of the generalized\nLaplace\u0027s equation which arises in the context of the Calogero-Sutherland model\non a line. The solutions are expressed as linear combinations of Jack\npolynomials and the constraints on the coefficients of expansion are derived.\nThese constraints involve generalized binomial coefficients defined through\nJack polynomials. Generalized binomial coefficients for partitions of $k$ upto\n$k=6$ are tabulated.",
    "arxiv_id": "solv-int/9710017",
    "authors": [
      "S. Chaturvedi"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1142/S0217732398000772",
    "title": "Jack polynomials, generalized binomial coefficients and polynomial   solutions of the generalized Laplace\u0027s equation",
    "url": "https://arxiv.org/abs/solv-int/9710017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e5ff1fd7-47a8-4e15-a445-89a4f6b888af",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}