Gelin-Cesáro identities for Fibonacci and Lucas quaternions

Ahmet Daşdemir

doi:10.2478/aupcsm-2019-0010

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Gelin-Cesáro identities for Fibonacci and Lucas quaternions

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 18 (2019): Issue 1 (December 2019)

By: Ahmet Daşdemir

Open Access

|Dec 2019

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/aupcsm-2019-0010 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 137 - 144

Submitted on: Jan 13, 2019

Accepted on: Jun 19, 2019

Published on: Dec 5, 2019

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Fibonacci quaternion,

Gelin-Cesáro identity,

Catalan’s identity

Related subjects:

Mathematics,

General mathematics

© 2019 Ahmet Daşdemir, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

Volume 18 (2019): Issue 1 (December 2019)