Generalized Bivariate Lucas p-Polynomials and Hessenberg Matrices
Kenan Kaygisiz and Adem Şahin
Department of Mathematics
Faculty of Arts and Sciences
In this paper, we give some determinantal and permanental
representations of generalized bivariate Lucas p-polynomials by
using various Hessenberg matrices. The results that we obtained are
important since generalized bivariate Lucas p-polynomials are
general forms of, for example, bivariate Jacobsthal-Lucas, bivariate
Pell-Lucas p-polynomials, Chebyshev polynomials of the first kind,
Jacobsthal-Lucas numbers etc.
Full version: pdf,
Received November 30 2011;
revised version received February 21 2012.
Published in Journal of Integer Sequences, March 11 2012.
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