{
  "annotation_id": "70542c4e-897e-40f7-ac91-bea2a296c51a",
  "date_created": "2026-03-02T18:01:59.673000Z",
  "date_modified": "2026-03-02T18:01:59.673000Z",
  "file_hash": "16d0f3ca475d837db167eac723e6add79d8d4c61f4ec4683a137eb1b7ff964e6",
  "private": false,
  "record": {
    "abstract": "A hypergeometric type equation satisfying certain conditions defines either a\nfinite or an infinite system of orthogonal polynomials. We present in a unified\nand explicit way all these systems of orthogonal polynomials, the associated\nspecial functions and the corresponding raising/lowering operators. The\nconsidered equations are directly related to some Schrodinger type equations\n(Poschl-Teller, Scarf, Morse, etc), and the defined special functions are\nrelated to the corresponding bound-state eigenfunctions.",
    "arxiv_id": "quant-ph/0306012",
    "authors": [
      "Nicolae Cotfas"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.2478/BF02476425",
    "title": "Orthogonal polynomials defined by hypergeometric type equations with   application to quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0306012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "02aa804f-b6d0-49e7-9fef-64c37b3b11e3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}