A combined approach to Perrin and Padovan hybrid sequences

Recently, there has been huge interest to a new numeric set, which brings together three numerical systems: complex, hyperbolic and dual numbers, called as hybrid number. Motivated and based on the importance of this system, we apply the definition of hybrid numbers to Perrin numbers and introduce P...

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Autores principales: Jafari Petroudi, Seyyed H., Pirouz, Maryam, Karaca, Emel, Yılmaz, Fatih
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2021
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8379677/
https://www.ncbi.nlm.nih.gov/pubmed/34458612
http://dx.doi.org/10.1016/j.heliyon.2021.e07765
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author Jafari Petroudi, Seyyed H.
Pirouz, Maryam
Karaca, Emel
Yılmaz, Fatih
author_facet Jafari Petroudi, Seyyed H.
Pirouz, Maryam
Karaca, Emel
Yılmaz, Fatih
author_sort Jafari Petroudi, Seyyed H.
collection PubMed
description Recently, there has been huge interest to a new numeric set, which brings together three numerical systems: complex, hyperbolic and dual numbers, called as hybrid number. Motivated and based on the importance of this system, we apply the definition of hybrid numbers to Perrin numbers and introduce Perrin hybrid numbers and examine some properties of them. In other words, we obtain their some properties such as Binet-like-formula, partial sums, generating functions, etc. Also we investigate some similar properties with Padovan hybrid sequence. Finally, we give a source Maple 13 code.
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spelling pubmed-83796772021-08-27 A combined approach to Perrin and Padovan hybrid sequences Jafari Petroudi, Seyyed H. Pirouz, Maryam Karaca, Emel Yılmaz, Fatih Heliyon Research Article Recently, there has been huge interest to a new numeric set, which brings together three numerical systems: complex, hyperbolic and dual numbers, called as hybrid number. Motivated and based on the importance of this system, we apply the definition of hybrid numbers to Perrin numbers and introduce Perrin hybrid numbers and examine some properties of them. In other words, we obtain their some properties such as Binet-like-formula, partial sums, generating functions, etc. Also we investigate some similar properties with Padovan hybrid sequence. Finally, we give a source Maple 13 code. Elsevier 2021-08-14 /pmc/articles/PMC8379677/ /pubmed/34458612 http://dx.doi.org/10.1016/j.heliyon.2021.e07765 Text en © 2021 Published by Elsevier Ltd. https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Jafari Petroudi, Seyyed H.
Pirouz, Maryam
Karaca, Emel
Yılmaz, Fatih
A combined approach to Perrin and Padovan hybrid sequences
title A combined approach to Perrin and Padovan hybrid sequences
title_full A combined approach to Perrin and Padovan hybrid sequences
title_fullStr A combined approach to Perrin and Padovan hybrid sequences
title_full_unstemmed A combined approach to Perrin and Padovan hybrid sequences
title_short A combined approach to Perrin and Padovan hybrid sequences
title_sort combined approach to perrin and padovan hybrid sequences
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8379677/
https://www.ncbi.nlm.nih.gov/pubmed/34458612
http://dx.doi.org/10.1016/j.heliyon.2021.e07765
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