{
  "id": "1310.6348",
  "version": "v1",
  "published": "2013-10-23T19:59:10.000Z",
  "updated": "2013-10-23T19:59:10.000Z",
  "title": "New addition formula for the little $q$-Bessel functions",
  "authors": [
    "Fethi Bouzeffour"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Starting from the addition formula for little $q$-Jacobi polynomials, we derive a new addition formula for the little $q$-Bessel functions. The result is obtained by the use of a limit transition. We also establish a product formula for little $q$-Bessel functions with a positive and symmetric kernel.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-23T19:59:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bessel functions",
      "addition formula",
      "jacobi polynomials",
      "limit transition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.6348B"
    }
  }
}