Gelin-Cesáro identities for Fibonacci and Lucas quaternions

Ahmet Daşdemir

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.

Mathematics Subject Classification (2010)


11B37; 16H05; 11R52

References


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