Article ID Journal Published Year Pages File Type
1891337 Chaos, Solitons & Fractals 2016 5 Pages PDF
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
Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
Preview
A note on bi-periodic Fibonacci and Lucas quaternions
Authors
, , ,