1Department of Mathematics University of Trás-os-Montes e Alto Douro
Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 2, pp. 263-270
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Paula M. M. C. Catarino; Paula M. M. C. Catarino. A note on certain matrices with h(x)-Fibonacci polynomials. Acta mathematica Universitatis Comenianae, Tome 86 (2017) no. 2, pp. 263-270. http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a5/
@article{AMUC_2017_86_2_a5,
author = {Paula M. M. C. Catarino and Paula M. M. C. Catarino},
title = { A note on certain matrices with {h(x)-Fibonacci} polynomials},
journal = {Acta mathematica Universitatis Comenianae},
pages = {263--270},
year = {2017},
volume = {86},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a5/}
}
TY - JOUR
AU - Paula M. M. C. Catarino
AU - Paula M. M. C. Catarino
TI - A note on certain matrices with h(x)-Fibonacci polynomials
JO - Acta mathematica Universitatis Comenianae
PY - 2017
SP - 263
EP - 270
VL - 86
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a5/
ID - AMUC_2017_86_2_a5
ER -
%0 Journal Article
%A Paula M. M. C. Catarino
%A Paula M. M. C. Catarino
%T A note on certain matrices with h(x)-Fibonacci polynomials
%J Acta mathematica Universitatis Comenianae
%D 2017
%P 263-270
%V 86
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2017_86_2_a5/
%F AMUC_2017_86_2_a5
In this paper it is considered a g-circulant, right circulant, left circulant and a special kind of a tridiagonal matrices whose entries are h(x)-Fibonacci polynomials. The determinant of these matrices is established and with the tridiagonal matrices we show that the determinant is equal to the $n$th term of the h(x)-Fibonacci polynomials.