On the q analogue of Fibonacci and Lucas matrices and Fibonacci Polynomials

Authors

  • Adem, Şahin

Abstract

In the present paper, we study on the q analogue of Fibonacci and Lucas Polynomials and define new q-Fibonacci and q-Lucas matrix. We obtain the inverse of these matrices with the aid of determinants of some Hessenberg matrices which obtained from a part of these matrices and give a factorization of these matrices. In addition, we give some relationships between q-Fibonacci polynomials and permanents and determinants of some Hessenberg matrices and inverse of some triangular matrices.

Published

2016-06-09

How to Cite

Adem, Şahin. (2016). On the q analogue of Fibonacci and Lucas matrices and Fibonacci Polynomials. Utilitas Mathematica, 100. Retrieved from https://utilitasmathematica.com/index.php/Index/article/view/1120

Issue

Vol. 100 (2016): Volume 100, 2016

Section

Articles

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