{
  "id": "0907.1152",
  "version": "v1",
  "published": "2009-07-07T07:12:03.000Z",
  "updated": "2009-07-07T07:12:03.000Z",
  "title": "On a class of determinants",
  "authors": [
    "Milan Janjic"
  ],
  "categories": [
    "math.CO",
    "math.AC"
  ],
  "abstract": "A class of determinants is introduced. Different kind of mathematical objects, such as Fibonacci, Lucas, Tchebychev, Hermite, Laguerre, Legendre polynomials, sums and covergents are represented as determinants from this class. A closed formula in which arbitrary term of a homogenous linear recurrence equation is expressed in terms of the initial conditions and the coefficients is proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-07T07:12:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B83",
      "11J71"
    ],
    "keywords": [
      "determinants",
      "homogenous linear recurrence equation",
      "legendre polynomials",
      "initial conditions",
      "arbitrary term"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.1152J"
    }
  }
}