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

作者：Coskun Arzu; Taskara Necati^*

来源：Applied Mathematics and Computation, 2018, 320: 400-406.

DOI：10.1016/j.amc.2017.09.031

• Bi-periodic Fibonacci matrix sequence
• Bi-periodic Lucas matrix sequence
• Bi-periodic Lucas number
• Generalized Fibonacci matrix sequence
• Generating function

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.

• 出版日期2018-3-1