A note on bi-periodic Fibonacci and Lucas quaternions
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closedAccessAbstract
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. (C) 2016 Elsevier Ltd. All rights reserved.
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Chaos Solitons & FractalsVolume
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