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

On some properties of split Horadam quaternions

Faculty of Mathematics and Applied Physics

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"On some properties of split Horadam quaternions"}

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...

On some properties of split Horadam quaternions

Published Online: Dec 02, 2020

Page range: 260 - 271

Received: Aug 21, 2019

DOI: https://doi.org/10.2478/ausm-2020-0017

Keywords
Horadam numbers, quaternion, split quaternion, split Horadam quaternion

© 2020 Dorota Bród, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On some properties of split Horadam quaternions

Published Online: Dec 02, 2020

Page range: 260 - 271

Received: Aug 21, 2019

DOI: https://doi.org/10.2478/ausm-2020-0017

KeywordsHoradam numbers, quaternion, split quaternion, split Horadam quaternion

© 2020 Dorota Bród, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Horadam numbers, quaternion, split quaternion, split Horadam quaternion