{
  "id": "physics/9802045",
  "version": "v3",
  "published": "1998-02-25T21:58:35.000Z",
  "updated": "1999-09-17T11:27:16.000Z",
  "title": "Quasi-exactly solvable problems and the dual (q-)Hahn polynomials",
  "authors": [
    "I. V. Krasovsky"
  ],
  "comment": "15 pages, LaTex; final version, presentation improved, title changed, to appear in J.Math.Phys",
  "journal": "J. Math. Phys. 41, 569 (2000)",
  "doi": "10.1063/1.533143",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A second-order differential (q-difference) eigenvalue equation is constructed whose solutions are generating functions of the dual (q-)Hahn polynomials. The fact is noticed that these generating functions are reduced to the (little q-)Jacobi polynomials, and implications of this for quasi-exactly solvable problems are studied. A connection with the Azbel-Hofstadter problem is indicated.",
  "revisions": [
    {
      "version": "v3",
      "updated": "1999-09-17T11:27:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Fd",
      "02.10.Nj",
      "02.30.Hq",
      "02.60.Lj",
      "02.10.Sp"
    ],
    "keywords": [
      "quasi-exactly solvable problems",
      "hahn polynomials",
      "generating functions",
      "eigenvalue equation",
      "second-order differential"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2000,
      "month": "Jan",
      "volume": 41,
      "number": 1,
      "pages": 569
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000JMP....41..569K"
    }
  }
}