On Third Order Bronze Fibonacci Quaternions

Year 2022, , 331 - 339, 30.12.2022

Jeta Alo

https://doi.org/10.47000/tjmcs.1097599

Cited By: 1

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

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