{
  "id": "1605.07200",
  "version": "v1",
  "published": "2016-05-23T20:08:43.000Z",
  "updated": "2016-05-23T20:08:43.000Z",
  "title": "A new generalisation of Macdonald polynomials",
  "authors": [
    "Alexandr Garbali",
    "Jan de Gier",
    "Michael Wheeler"
  ],
  "comment": "26 pages, LaTeX",
  "categories": [
    "math-ph",
    "math.CO",
    "math.MP",
    "math.QA",
    "math.RT"
  ],
  "abstract": "We introduce a new family of symmetric multivariate polynomials, whose coefficients are meromorphic functions of two parameters $(q,t)$ and polynomial in a further two parameters $(u,v)$. We evaluate these polynomials explicitly as a matrix product. At $u=v=0$ they reduce to Macdonald polynomials, while at $q=0$, $u=v=s$ they recover a family of inhomogeneous symmetric functions originally introduced by Borodin.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-23T20:08:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "macdonald polynomials",
      "generalisation",
      "symmetric multivariate polynomials",
      "inhomogeneous symmetric functions",
      "matrix product"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}