{
  "id": "1310.8440",
  "version": "v1",
  "published": "2013-10-31T10:10:49.000Z",
  "updated": "2013-10-31T10:10:49.000Z",
  "title": "A class of symmetric $q$-orthogonal polynomials with four free parameters",
  "authors": [
    "I. Area",
    "M. Masjed-Jamei"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1306.6444",
  "categories": [
    "math.CA"
  ],
  "abstract": "By using a generalization of Sturm-Liouville problems in $q$-difference spaces, a class of symmetric $q$-orthogonal polynomials with four free parameters is introduced. The standard properties of these polynomials, such as a second order $q$-difference equation, the explicit form of the polynomials in terms of basic hypergeometric series, a three term recurrence relation and a general orthogonality relation are presented. Some particular examples are then studied in detail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-31T10:10:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34B24",
      "39A13",
      "33C47",
      "05E05"
    ],
    "keywords": [
      "orthogonal polynomials",
      "free parameters",
      "basic hypergeometric series",
      "term recurrence relation",
      "general orthogonality relation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.8440A"
    }
  }
}