{
  "id": "math/0312312",
  "version": "v1",
  "published": "2003-12-16T18:53:32.000Z",
  "updated": "2003-12-16T18:53:32.000Z",
  "title": "A set of orthogonal polynomials, dual to alternative q-Charlier polynomials",
  "authors": [
    "N. M. Atakishiyev",
    "A. U. Klimyk"
  ],
  "comment": "9 pages, LaTeX",
  "categories": [
    "math.CA",
    "math.SP"
  ],
  "abstract": "The aim of this paper is to derive (by using two operators, representable by a Jacobi matrix) a family of q-orthogonal polynomials, which turn to be dual to alternative q-Charlier polynomials. A discrete orthogonality relation and a three-term recurrence relation for these dual polynomials are explicitly obtained. The completeness property of dual alternative q-Charlier polynomials is also established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-16T18:53:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D45",
      "47B36",
      "81Q10"
    ],
    "keywords": [
      "three-term recurrence relation",
      "discrete orthogonality relation",
      "dual alternative q-charlier polynomials",
      "q-orthogonal polynomials",
      "jacobi matrix"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12312A"
    }
  }
}