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

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

Open Access
|Dec 2019

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].

DOI: https://doi.org/10.2478/auom-2019-0030 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 5 - 23
Submitted on: Dec 8, 2018
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Accepted on: Jan 29, 2019
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Published on: Dec 21, 2019
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2019 Giuseppina Anatriello, Giovanni Vincenzi, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.