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

Author

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  • Coskun, Arzu
  • Taskara, Necati

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.

Suggested Citation

  • Coskun, Arzu & Taskara, Necati, 2018. "A note on the bi-periodic Fibonacci and Lucas matrix sequences," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 400-406.
    • Handle: RePEc:eee:apmaco:v:320:y:2018:i:c:p:400-406
    DOI: 10.1016/j.amc.2017.09.031
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    Cited by:

    1. Florek, Wojciech, 2018. "A class of generalized Tribonacci sequences applied to counting problems," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 809-821.

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