Journal of Integer Sequences, Vol. 15 (2012), Article 12.3.4

Generalized Bivariate Lucas p-Polynomials and Hessenberg Matrices

Kenan Kaygisiz and Adem Şahin
Department of Mathematics
Faculty of Arts and Sciences
Gaziosmanpaşa University
60250 Tokat


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.

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Received November 30 2011; revised version received February 21 2012. Published in Journal of Integer Sequences, March 11 2012.

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