@article{Tokeşer2022, 
author = {Ümit Tokeşer and Tuğba Mert and Yakup Dündar},
title = {Some properties and Vajda theorems of split dual Fibonacci and split dual Lucas octonions},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {8645-8653},
keywords = {octonions, dual Fibonacci and dual Lucas numbers, split dual Fibonacci and split dual Lucas octonions},
url = {https://www.sciopen.com/article/10.3934/math.2022483},
doi = {10.3934/math.2022483},
abstract = {In this paper, we introduce split dual Fibonacci and split dual Lucas octonions over the algebra                                O          ~                    ~            (          a      ,      b      ,      c        )  , where    a  ,  b and    c are real numbers. We obtain Binet formulas for these octonions. Also, we give many identities and Vajda theorems for split dual Fibonacci and split dual Lucas octonions including Catalan's identity, Cassini's identity and d'Ocagne's identity.}
}