{
  "id": "1102.5669",
  "version": "v1",
  "published": "2011-02-28T14:16:47.000Z",
  "updated": "2011-02-28T14:16:47.000Z",
  "title": "Zeros of the exceptional Laguerre and Jacobi polynomials",
  "authors": [
    "C. -L. Ho",
    "R. Sasaki"
  ],
  "comment": "25 pages, 10 figures",
  "categories": [
    "math-ph",
    "hep-th",
    "math.CA",
    "math.MP",
    "nlin.SI",
    "quant-ph"
  ],
  "abstract": "An interesting discovery in the last two years in the field of mathematical physics has been the exceptional $X_\\ell$ Laguerre and Jacobi polynomials. Unlike the well-known classical orthogonal polynomials which start with constant terms, these new polynomials have the lowest degree $\\ell=1,2,...$, and yet they form complete sets with respect to some positive-definite measure. In this paper, we study one important aspect of these new polynomials, namely, the behaviors of their zeros as some parameters of the Hamiltonians change.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-28T14:16:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "jacobi polynomials",
      "exceptional laguerre",
      "well-known classical orthogonal polynomials",
      "form complete sets",
      "constant terms"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.5402/2012/920475"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 890851,
      "adsabs": "2011arXiv1102.5669H"
    }
  }
}