{
  "id": "0804.3739",
  "version": "v1",
  "published": "2008-04-23T15:38:22.000Z",
  "updated": "2008-04-23T15:38:22.000Z",
  "title": "A class of matrix-valued polynomials generalizing Jacobi Polynomials",
  "authors": [
    "Rodica D. Costin"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "A hierarchy of matrix-valued polynomials which generalize the Jacobi polynomials is found. Defined by a Rodrigues formula, they are also products of a sequence of differential operators. Each class of polynomials is complete, satisfies a two-step recurrence relation, integral inter-relations, and quasi-orthogonality relations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-23T15:38:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C05",
      "33C47",
      "33C45"
    ],
    "keywords": [
      "matrix-valued polynomials generalizing jacobi polynomials",
      "two-step recurrence relation",
      "rodrigues formula",
      "quasi-orthogonality relations",
      "integral inter-relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.3739C"
    }
  }
}