{
  "id": "math-ph/0410050",
  "version": "v1",
  "published": "2004-10-25T09:23:43.000Z",
  "updated": "2004-10-25T09:23:43.000Z",
  "title": "Systems of orthogonal polynomials defined by hypergeometric type equations",
  "authors": [
    "Nicolae Cotfas"
  ],
  "comment": "10 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. We present in a unified and explicit way all these systems of orthogonal polynomials, the associated special functions and the corresponding raising/lowering operators. This general formalism allows us to extend some known results to a larger class of functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-25T09:23:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C45",
      "81R05",
      "81R30"
    ],
    "keywords": [
      "orthogonal polynomials",
      "associated special functions",
      "hypergeometric type equation satisfying",
      "larger class",
      "conditions defines"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.ph..10050C"
    }
  }
}