On Third Order Bronze Fibonacci Quaternions

Authors : Jeta ALO

Pages : 331-339

Doi:10.47000/tjmcs.1097599

View : 19 | Download : 13

Publication Date : 2022-12-30

Article Type : Research Paper

Abstract :In this study, we define third order bronze Fibonacci quaternions. We obtain the generating functions, the Binet\`s formula and some properties of these quaternions. We give d\`Ocagne\`s-like and Cassini\`s-like identity and we use q-determinants for quaternionic matrices to give the Cassini\`s identity for third order bronze Fibonacci quaternions.
Keywords : Bronze Fibonacci quaternions, generating function, Binet\`s formula, Cassini\`s identity