{
  "id": "math/9405213",
  "version": "v1",
  "published": "1994-05-24T00:00:00.000Z",
  "updated": "1994-05-24T00:00:00.000Z",
  "title": "Q-Hermite polynomials and classical orthogonal polynomials",
  "authors": [
    "Christian Berg",
    "Mourad E. H. Ismail"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We use generating functions to express orthogonality relations in the form of $q$-beta integrals. The integrand of such a $q$-beta integral is then used as a weight function for a new set of orthogonal or biorthogonal",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-05-24T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical orthogonal polynomials",
      "q-hermite polynomials",
      "beta integral",
      "express orthogonality relations",
      "weight function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1994math......5213B"
    }
  }
}