Hybrid Quaternions of Pell and Jacobsthal

1
M. C. Dos S. Mangueira
M. C. Dos S. Mangueira
2
R. P. M. Vieira
R. P. M. Vieira
3
F. R. V. Alves
F. R. V. Alves
4
P. M. M. C. Catarino
P. M. M. C. Catarino

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GJSFR Volume 22 Issue F3

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Knowing that the Pell and Jacobsthal sequences are second-order linear recursive sequences and that they have similarities between them, this study aims to explore these sequences. Thus, an investigation will be carried out on the Pell and Jacobsthal numbers based on the hybrid numbers and their quaternions. In this way, it will be presented as a great among these hybrid themes of Pell and will be presented as a formula of hybrids of Pell Jacobsthal and will be presented, transforming function and its extension to the indices.

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No external funding was declared for this work.

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The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

M. C. Dos S. Mangueira. 2026. \u201cHybrid Quaternions of Pell and Jacobsthal\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 22 (GJSFR Volume 22 Issue F3): .

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Detailed analysis of Pell and Jacobsthal hybrid quaternions, their properties, and applications in mathematics and physics.
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: DDC Code: 174.957 LCC Code: QH445.7
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v1.2

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September 20, 2022

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English

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Knowing that the Pell and Jacobsthal sequences are second-order linear recursive sequences and that they have similarities between them, this study aims to explore these sequences. Thus, an investigation will be carried out on the Pell and Jacobsthal numbers based on the hybrid numbers and their quaternions. In this way, it will be presented as a great among these hybrid themes of Pell and will be presented as a formula of hybrids of Pell Jacobsthal and will be presented, transforming function and its extension to the indices.

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Hybrid Quaternions of Pell and Jacobsthal

M. C. Dos S. Mangueira
M. C. Dos S. Mangueira
R. P. M. Vieira
R. P. M. Vieira
F. R. V. Alves
F. R. V. Alves
P. M. M. C. Catarino
P. M. M. C. Catarino

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