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On the Bi-Periodic Lucas Octonions

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摘要

In this manuscript, we define bi-periodic Lucas octonions by using the bi-periodic Lucas numbers. Also, we present the generating function of these octonions and some properties over them. After that, we get the relationships between the bi-periodic Fibonacci octonions and the bi-periodic Lucas octonions and the summations for the bi-periodic Lucas octonions.

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