Published January 1, 2017 | Version v1
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On the Bi-Periodic Lucas Octonions

  • 1. Selcuk Univ, Fac Sci, Dept Math, Konya, Turkey
  • 2. Nevsehir Haci Bektas Veli Univ, Fac Arts & Sci, Dept Math, Nevsehir, Turkey

Description

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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