Yilmaz, NazmiyeYazlik, YasinTaskara, Necati2020-03-262020-03-2620170188-70091661-4909https://dx.doi.org/10.1007/s00006-016-0690-xhttps://hdl.handle.net/20.500.12395/35341In 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.en10.1007/s00006-016-0690-xinfo:eu-repo/semantics/closedAccessBi-periodic Fibonacci numberBi-periodic Lucas numberFibonacci numberGenerating functionsLucas numberOctonionsArticle27219271937Q3WOS:000401669000062Q2