ON THE GENERALIZED DUAL FIBONACCI AND LUCAS OCTONIONS
Abstract
Generalized number systems, particularly octonions with their algebraic structure, have drawn much interest in mathematics, physics, and computer technology. Therefore, in this paper, we introduce two new concepts, modified generalized dual Fibonacci and modified generalized dual Lucas octonions, to expand the topic of octonions. Additionally, we explore the well-known Catalan and Cassini identities, shedding light on the characteristics of these new constructs. Also, we give generating functions and the Binet formulas of the modified generalized dual Fibonacci and modified generalized dual Lucas octonions.
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DOI: https://doi.org/10.22190/FUMI220505027K
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