{
  "annotation_id": "d2f30ab7-9bde-410a-9e97-388ee20e7e3e",
  "date_created": "2026-03-02T18:01:25.084000Z",
  "date_modified": "2026-03-02T18:01:25.084000Z",
  "file_hash": "a0e646ce46cc4627df964a98528e8dfb0691b301732d322470dfd1c7e3185ff5",
  "private": false,
  "record": {
    "abstract": "We define a q-analog of the modified Bessel and Bessel-Macdonald functions.\nAs for the q-Bessel functions of Jackson there is a couple of functions of the\nboth kind. They are arisen in the Harmonic analysis on quantum symmetric spaces\nsimilarly to their classical counterpart.\n  Their definition is based on the power expansions. We derive the recurrence\nrelations, difference equations, q-Wronskians, and an analog of asymptotic\nexpansions which turns out is exact in some domain if $q\\neq 1$. Some relations\nfor the basic hypergeometric function which follow from this fact are\ndiscussed.",
    "arxiv_id": "q-alg/9509013",
    "authors": [
      "M. A. Olshanetsky",
      "V. -B. K. Rogov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "The Modified q-Bessel Functions and the q-Bessel-Macdonald Functions",
    "url": "https://arxiv.org/abs/q-alg/9509013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b71ac7df-faa7-4467-91ef-4d09d3afbd97",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}