On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers

On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers

The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.

Bibliographic Details
Main Authors: Szynal-Liana Anetta, Włoch Iwona
Format: Article
Language:English
Published: Sciendo 2019-09-01
Series:Annales Mathematicae Silesianae
Subjects:
Jacobsthal numbers
recurrence relations
complex numbers
hyperbolic numbers
dual numbers
11B37
11B39
97F50
Online Access:http://www.degruyter.com/view/j/amsil.2019.33.issue-1/amsil-2018-0009/amsil-2018-0009.xml?format=INT
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spelling doaj-7d1e4101263942fc8671928eda2870b22020-11-25T02:19:02ZengSciendoAnnales Mathematicae Silesianae2391-42382019-09-0133127628310.2478/amsil-2018-0009amsil-2018-0009On Jacobsthal and Jacobsthal-Lucas Hybrid NumbersSzynal-Liana Anetta0Włoch Iwona1Faculty of Mathematics and Applied Physics, Rzeszow University of Technology, al. Powstańców Warszawy 12 35-959 Rzeszów, PolandFaculty of Mathematics and Applied Physics, Rzeszow University of Technology, al. Powstańców Warszawy 12 35-959 Rzeszów, PolandThe hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.http://www.degruyter.com/view/j/amsil.2019.33.issue-1/amsil-2018-0009/amsil-2018-0009.xml?format=INTJacobsthal numbersrecurrence relationscomplex numbershyperbolic numbersdual numbers11B3711B3997F50
collection DOAJ
language English
format Article
sources DOAJ
author Szynal-Liana Anetta
Włoch Iwona
spellingShingle Szynal-Liana Anetta
Włoch Iwona
On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
Annales Mathematicae Silesianae
Jacobsthal numbers
recurrence relations
complex numbers
hyperbolic numbers
dual numbers
11B37
11B39
97F50
author_facet Szynal-Liana Anetta
Włoch Iwona
author_sort Szynal-Liana Anetta
title On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
title_short On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
title_full On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
title_fullStr On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
title_full_unstemmed On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers
title_sort on jacobsthal and jacobsthal-lucas hybrid numbers
publisher Sciendo
series Annales Mathematicae Silesianae
issn 2391-4238
publishDate 2019-09-01
description The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.
topic Jacobsthal numbers
recurrence relations
complex numbers
hyperbolic numbers
dual numbers
11B37
11B39
97F50
url http://www.degruyter.com/view/j/amsil.2019.33.issue-1/amsil-2018-0009/amsil-2018-0009.xml?format=INT
work_keys_str_mv AT szynallianaanetta onjacobsthalandjacobsthallucashybridnumbers
AT włochiwona onjacobsthalandjacobsthallucashybridnumbers
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