Gelin-Cesáro identities for Fibonacci and Lucas quaternions

Abstract

To date, many identities of different quaternions, including the Fibonacci and Lucas quaternions, have been investigated. In this study, we present Gelin-Cesáro identities for Fibonacci and Lucas quaternions. The identities are a worthy addition to the literature. Moreover, we give Catalan's identity for the Lucas quaternions.

Keywords

• fibonacci quaternion
• gelin-cesáro identity
• catalan’s identity