{
  "id": "1310.7240",
  "version": "v1",
  "published": "2013-10-27T19:56:26.000Z",
  "updated": "2013-10-27T19:56:26.000Z",
  "title": "Another Christoffel--Darboux Formula for Multiple Orthogonal Polynomials of Mixed Type",
  "authors": [
    "Gerardo Araznibarreta",
    "Manuel Manas"
  ],
  "comment": "9 pags. arXiv admin note: text overlap with arXiv:1004.3916",
  "categories": [
    "math.CA",
    "math-ph",
    "math.GR",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "An alternative expression for the Christoffel--Darboux formula for multiple orthogonal polynomials of mixed type is derived from the $LU$ factorization of the moment matrix of a given measure and two sets of weights. We use the action of the generalized Jacobi matrix $J$, also responsible for the recurrence relations, on the linear forms and their duals to obtain the result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-27T19:56:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C45",
      "42C05",
      "15A23",
      "37K10"
    ],
    "keywords": [
      "multiple orthogonal polynomials",
      "christoffel-darboux formula",
      "mixed type",
      "linear forms",
      "recurrence relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.7240A"
    }
  }
}