- Turkish Journal of Mathematics and Computer Science
- Vol: 14 Issue: 2
- On Third Order Bronze Fibonacci Quaternions
On Third Order Bronze Fibonacci Quaternions
Authors : Jeta ALO
Pages : 331-339
Doi:10.47000/tjmcs.1097599
View : 7 | Download : 4
Publication Date : 2022-12-30
Article Type : Research
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