• Title of article

    DETERMINANTS an‎d PERMANENTS OF HESSENBERG MATRICES an‎d GENERALIZED LUCAS POLYNOMIALS

  • Author/Authors

    KAYGISIZ, K Department of Mathematics - Faculty of Science and Art - Gaziosmanpasa University , SAHIN, A Gaziosmanpasa University

  • Pages
    14
  • From page
    1065
  • To page
    1078
  • Abstract
    Abstract. In this paper, we give some determinantal and permanental representations of generalized Lucas polynomials, which are a general form of generalized bivariate Lucas p-polynomials, ordinary Lucas and Perrin sequences etc., by using various Hessenberg matrices. In addition, we show that determinant and permanent of these Hessenberg matrices can be obtained by using combinations. Then we show, the conditions under which the determinants of the Hessenberg matrix become its permanents.
  • Keywords
    determinant and permanent , Hessenberg matrix , generalized Perrin polynomials , Generalized Lucas polynomials
  • Journal title
    Astroparticle Physics
  • Serial Year
    2013
  • Record number

    2423826

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2423826