<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Gelin-Cesáro identities for Fibonacci and Lucas quaternions

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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{"article-title":"Gelin-Cesáro identities for Fibonacci and Lucas quaternions"}

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

Online veröffentlicht: 05. Dez. 2019

Seitenbereich: 137 - 144

Eingereicht: 13. Jan. 2019

Akzeptiert: 19. Juni 2019

DOI: https://doi.org/10.2478/aupcsm-2019-0010

Schlüsselwörter
Fibonacci quaternion, Gelin-Cesáro identity, Catalan’s identity

© 2019 Ahmet Daşdemir, published by Sciendo

This work is licensed under a Creative Commons Attribution Share-Alike 4.0 License.

Gelin-Cesáro identities for Fibonacci and Lucas quaternions

Online veröffentlicht: 05. Dez. 2019

Seitenbereich: 137 - 144

Eingereicht: 13. Jan. 2019

Akzeptiert: 19. Juni 2019

DOI: https://doi.org/10.2478/aupcsm-2019-0010

SchlüsselwörterFibonacci quaternion, Gelin-Cesáro identity, Catalan’s identity

© 2019 Ahmet Daşdemir, published by Sciendo

This work is licensed under a Creative Commons Attribution Share-Alike 4.0 License.

Schlüsselwörter
Fibonacci quaternion, Gelin-Cesáro identity, Catalan’s identity