{
  "id": "math/0610153",
  "version": "v1",
  "published": "2006-10-04T16:06:07.000Z",
  "updated": "2006-10-04T16:06:07.000Z",
  "title": "A semiclassical perspective on multivariate orthogonal polynomials",
  "authors": [
    "M. Alvarez de Morales",
    "L. Fernández",
    "T. E. Pérez",
    "M. A. Piñar"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "Differential properties for orthogonal polynomials in several variables are studied. We consider multivariate orthogonal polynomials whose gradients satisfy some quasi--orthogonality conditions. We obtain several characterizations for these polynomials including the analogous of the semiclassical Pearson differential equation, the structure relation and a differential--difference equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-04T16:06:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C05",
      "33C50"
    ],
    "keywords": [
      "multivariate orthogonal polynomials",
      "semiclassical perspective",
      "semiclassical pearson differential equation",
      "differential properties",
      "structure relation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10153A"
    }
  }
}