A note on bi-periodic Fibonacci and Lucas quaternions

Elif Tan, Semih Yilmaz and Murat Sahin

Chaos, Solitons & Fractals, 2016, vol. 85, issue C, 138-142

Abstract: Motivated by the our recent work in Tan et al., 2016, related to the bi-periodic Fibonacci quaternions, here we introduce the bi-periodic Lucas quaternions that gives the Lucas quaternions as a special case. We give the generating function and the Binet formula for these quaternions. Also, we give the relationships between bi-periodic Fibonacci quaternions and bi-periodic Lucas quaternions.

Keywords: Lucas sequence; Generalized Lucas sequence; Recurrence relations; Quaternions (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:85:y:2016:i:c:p:138-142

DOI: 10.1016/j.chaos.2016.01.025

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