A note on the bi-periodic Fibonacci and Lucas matrix sequences

Arzu Coskun and Necati Taskara

Applied Mathematics and Computation, 2018, vol. 320, issue C, 400-406

Abstract: In this paper, we introduce the bi-periodic Lucas matrix sequence and present some fundamental properties of this generalized matrix sequence. Moreover, we investigate the important relationships between the bi-periodic Fibonacci and Lucas matrix sequences. We express that some behaviors of bi-periodic Lucas numbers also can be obtained by considering properties of this new matrix sequence. Finally, we say that the matrix sequences as Lucas, k-Lucas and Pell–Lucas are special cases of this generalized matrix sequence.

Keywords: Bi-periodic Fibonacci matrix sequence; Bi-periodic Lucas matrix sequence; Bi-periodic Lucas number; Generalized Fibonacci matrix sequence; Generating function (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:320:y:2018:i:c:p:400-406

DOI: 10.1016/j.amc.2017.09.031

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