Ates, F.Gok, IEkmekci, N.2024-02-232024-02-2320191450-9628https://hdl.handle.net/20.500.12452/18065The purpose of the paper is to construct a new representation of dual quaternions called bi-periodic dual Fibonacci quaternions. These quaternions are originated as a generalization of the known quaternions in literature such as dual Fibonacci quaternions, dual Pell quaternions and dual k-Fibonacci quaternions. Moreover, some of them have not been introduced until now. Finally, we calculate the generating function, Binet formula and Catalan's identity of the bi-periodic dual Fibonacci quaternions.eninfo:eu-repo/semantics/closedAccessDual Fibonacci QuaternionsBi-Periodic Fibonacci QuaternionsBi-Periodic Dual Fibonacci QuaternionsArticle43199107Q3WOS:000460558600009