{
  "id": "math/9805023",
  "version": "v1",
  "published": "1998-05-06T14:02:00.000Z",
  "updated": "1998-05-06T14:02:00.000Z",
  "title": "q-Laguerre polynomials and big q-Bessel functions and their orthogonality relations",
  "authors": [
    "Nicola Ciccoli",
    "Erik Koelink",
    "Tom H. Koornwinder"
  ],
  "comment": "20 pages",
  "journal": "Methods Appl. Anal. 6 (1999), 109-127",
  "categories": [
    "math.CA",
    "math.QA"
  ],
  "abstract": "The q-Laguerre polynomials correspond to an indetermined moment problem. For explicit discrete non-N-extremal measures corresponding to Ramanujan's ${}_1\\psi_1$-summation we complement the orthogonal q-Laguerre polynomials into an explicit orthogonal basis for the corresponding L^2-space. The dual orthogonal system consists of so-called big q-Bessel functions, which can be obtained as a rigorous limit of the orthogonal system of big q-Jacobi polynomials. Interpretations on the SU(1,1) and E(2) quantum groups are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-05-06T14:02:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D45",
      "33D80"
    ],
    "keywords": [
      "big q-bessel functions",
      "q-laguerre polynomials",
      "orthogonality relations",
      "dual orthogonal system consists",
      "explicit discrete non-n-extremal measures corresponding"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......5023C"
    }
  }
}