{
  "id": "math/0011127",
  "version": "v5",
  "published": "2000-11-17T17:31:26.000Z",
  "updated": "2002-01-09T15:11:26.000Z",
  "title": "Restricted permutations and Chebyshev polynomials",
  "authors": [
    "T. Mansour",
    "A. Vainshtein"
  ],
  "comment": "17 pages, 5 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We study generating functions for the number of permutations in $\\SS_n$ subject to two restrictions. One of the restrictions belongs to $\\SS_3$, while the other to $\\SS_k$. It turns out that in a large variety of cases the answer can be expressed via Chebyshev polynomials of the second kind.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2002-01-09T15:11:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05",
      "05A15",
      "30B70",
      "42C05"
    ],
    "keywords": [
      "chebyshev polynomials",
      "restricted permutations",
      "second kind",
      "study generating functions",
      "large variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....11127M"
    }
  }
}