On some properties of split Horadam quaternions

Dorota Bród

doi:10.2478/ausm-2020-0017

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On some properties of split Horadam quaternions

Acta Universitatis Sapientiae, Mathematica

Volume 12 (2020): Issue 2 (November 2020)

By: Dorota Bród

Open Access

|Dec 2020

Abstract

In this paper we introduce and study the split Horadam quaternions. We give some identities, among others Binet’s formula, Catalan’s, Cassini’s and d’Ocagne’s identities for these numbers.

References

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[7]Ü. Tokeşer, Z. Ünal, G. Bilgici, Split Pell and Pell-Lucas Quaternions, Adv. Appl. Clifford Algebr., 27 (2017), 1881–1893.10.1007/s00006-016-0747-x
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Articles in this issue

DOI: https://doi.org/10.2478/ausm-2020-0017 | Journal eISSN: 2066-7752

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Language: English

Page range: 260 - 271

Submitted on: Aug 21, 2019

Published online: Dec 2, 2020

Published in print: Nov 1, 2020

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Keywords:

Horadam numbers,

quaternion,

split quaternion,

split Horadam quaternion

MSC:

11B37,

11R52

Related subjects:

Mathematics,

General mathematics

© 2020 Dorota Bród, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 12 (2020): Issue 2 (November 2020)