{
  "annotation_id": "a6d24be8-03d1-4621-a669-9733529a10d8",
  "date_created": "2026-03-02T18:02:20.632000Z",
  "date_modified": "2026-03-02T18:02:20.632000Z",
  "file_hash": "f12709966edecc8231efcc9f2963c1b5d2e390dc9bfbdf1151a34f2914286457",
  "private": false,
  "record": {
    "abstract": "We introduce a generalization of the Dobinski relation through which we\ndefine a family of Bell-type numbers and polynomials. For all these sequences\nwe find the weight function of the moment problem and give their generating\nfunctions. We provide a physical motivation of this extension in the context of\nthe boson normal ordering problem and its relation to an extension of the Kerr\nHamiltonian.",
    "arxiv_id": "quant-ph/0511157",
    "authors": [
      "P Blasiak",
      "A Horzela",
      "K A Penson",
      "A I Solomon"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/18/015",
    "journal_ref": "J. Phys. A: Math. Gen. 39, 4999-5006 (2006)",
    "title": "Dobinski-type relations: Some properties and physical applications",
    "url": "https://arxiv.org/abs/quant-ph/0511157"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f7cc2c92-1f1b-470f-9d31-612c5a6afd96",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}