{
  "annotation_id": "d94588ab-3ede-4c5f-9d81-16f21bb6f3ac",
  "date_created": "2026-03-02T18:01:28.813000Z",
  "date_modified": "2026-03-02T18:01:28.813000Z",
  "file_hash": "77a709b1779c0e2ed0b41cbe7666747a006aa841ac7f5dd8f60afa4294cae145",
  "private": false,
  "record": {
    "abstract": "Different generators of a deformed oscillator algebra give rise to\none-parameter families of $q$-exponential functions and $q$-Hermite polynomials\nrelated by generating functions. Connections of the Stieltjes and Hamburger\nclassical moment problems with the corresponding resolution of unity for the\n$q$-coherent states and with \u0027coordinate\u0027 operators - Jacobi matrices, are also\npointed out.",
    "arxiv_id": "q-alg/9610002",
    "authors": [
      "E. V. Damaskinsky",
      "P. P. Kulish"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1142/S0217751X97000207",
    "title": "Irreducible representations of deformed oscillator algebra and q-special   functions",
    "url": "https://arxiv.org/abs/q-alg/9610002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1c8716e7-a9c4-47a9-9b59-4907d1128f60",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}