On generalization of dual Fibonacci octonions

S. Halici, A. Karataş

In this study, we examine all the second order linear recurrence relations over dual octonions. Hence, we generalize Fibonacci-like relations over dual octonions. For this purpose we use the well-known Horadam sequence and obtain some fundamental and new identities involving elements of this generalized sequence. 

Tbilisi Mathematical Journal, Special Issue (IECMSA-2019), pp. 59-67