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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Detalles Bibliográficos
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
Descripción
Sumario: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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