{
  "id": "math-ph/0111021",
  "version": "v1",
  "published": "2001-11-12T10:35:30.000Z",
  "updated": "2001-11-12T10:35:30.000Z",
  "title": "Quantum integrable systems and special functions",
  "authors": [
    "A. M. Perelomov"
  ],
  "comment": "16 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The wave functions of quantum Calogero-Sutherland systems for trigonometric case are related to polynomials in l variables (l is a rank of root system) and they are the generalization of Gegenbauer polynomials and Jack polynomials. Using the technique of \\kappa-deformation of Clebsch-Gordan series developed in previous authors papers we investigate some new properties of generalized Gegenbauer polynomials.Note that similar results are also valid in A_2 case for more general two-parameter deformation ((q,t)-deformation) introduced by Macdonald.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-11-12T10:35:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum integrable systems",
      "special functions",
      "general two-parameter deformation",
      "quantum calogero-sutherland systems",
      "clebsch-gordan series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.ph..11021P"
    }
  }
}