<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, inspired by recent articles of A. Szynal-Liana &amp; I. Włoch and F. T. Aydin &amp; S. Yüce (see [26] and [2]), we will introduce the ̄<italic>h</italic>-Jacobsthal quaternions and the ̄<italic>h</italic>-Jacobsthal–Lucas sequences and their associated quaternions. The new results that we have obtained extend most of those obtained in [26].</p></abstract>

In this paper, inspired by recent articles of A. Szynal-Liana & I. Włoch and F. T. Aydin & S. Yüce (see [26] and [2]), we will introduce the ̄h-Jacobsthal quaternions and the ̄h-Jacobsthal–Lucas sequences and their associated quaternions. The new results that we have obtained extend most of those obtained in [26].

On ̄h-Jacobsthal and ̄h-Jacobsthal–Lucas sequences, and related quaternions

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, inspired by recent articles of A. Szynal-Liana & I. Włoch and F. T. Aydin & S. Yüce (see [26] and [2]), we will introduce the ̄h-Jacobsthal...

On ̄h-Jacobsthal and ̄h-Jacobsthal–Lucas sequences, and related quaternions

Published Online: Dec 21, 2019

Page range: 5 - 23

Received: Dec 08, 2018

Accepted: Jan 29, 2019

DOI: https://doi.org/10.2478/auom-2019-0030

Keywords
Jacobsthal numbers, Jacobsthal–Lucas numbers, recurrence relations, Kepler limit, Quaternions

© 2019 Giuseppina Anatriello et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On ̄h-Jacobsthal and ̄h-Jacobsthal–Lucas sequences, and related quaternions

Published Online: Dec 21, 2019

Page range: 5 - 23

Received: Dec 08, 2018

Accepted: Jan 29, 2019

DOI: https://doi.org/10.2478/auom-2019-0030

KeywordsJacobsthal numbers, Jacobsthal–Lucas numbers, recurrence relations, Kepler limit, Quaternions

© 2019 Giuseppina Anatriello et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Jacobsthal numbers, Jacobsthal–Lucas numbers, recurrence relations, Kepler limit, Quaternions