{
  "id": "0908.2291",
  "version": "v1",
  "published": "2009-08-17T06:52:52.000Z",
  "updated": "2009-08-17T06:52:52.000Z",
  "title": "Identities Derived from Noncrossing Partitions of Type B",
  "authors": [
    "William Y. C. Chen",
    "Andrew Y. Z. Wang",
    "Alina F. Y. Zhao"
  ],
  "comment": "18 pages, 4 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "Based on weighted noncrossing partitions of type B, we obtain type B analogues of Coker's identities on the Narayana polynomials. A parity reversing involution is given for the alternating sum of Narayana numbers of type B. Moreover, we find type B analogues of the refinements of Coker's identities due to Chen, Deutsch and Elizalde. By combinatorial constructions, we provide type B analogues of three identities of Mansour and Sun also on the Narayana polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-08-17T06:52:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "noncrossing partitions",
      "cokers identities",
      "narayana polynomials",
      "combinatorial constructions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.2291C"
    }
  }
}