On {ar h}-Jacobsthal and {ar h} -Jacobsthal–Lucas sequences, and related quaternions.

Giuseppina Anatriello; Giovanni Vincenzi

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Archivio della Ricerca - Università di Salerno

Article . 2019

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On {ar h}-Jacobsthal and {ar h} -Jacobsthal–Lucas sequences, and related quaternions.

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2019 Italy English

Authors: Giuseppina Anatriello; Giovanni Vincenzi;

handle: 11386/4726984

On {ar h}-Jacobsthal and {ar h} -Jacobsthal–Lucas sequences, and related quaternions.

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Abstract

In this paper, inspired by recent articles of A. Szynal-Liana & I. Wloch and F. T. Aydin & S. Yu ̈ce (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].

Country

Italy

Related Organizations

Università degli studi di Salerno
Italy

Keywords

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

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