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
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
