On New Pell Spinor Sequences

Tülay Erişir; Gökhan Mumcu; Mehmet Ali Güngör

doi:10.36753/mathenot.1451896

EN

On New Pell Spinor Sequences

Abstract

Our motivation for this study is to define two new and particular sequences. The most essential feature of these sequences is that they are spinor sequences. In this study, these new spinor sequences obtained using spinor representations of Pell and Pell-Lucas quaternions are expressed. Moreover, some formulas such that Binet formulas, Cassini formulas and generating functions of these spinor sequences, which are called as Pell and Pell-Lucas spinor sequences, are given. Then, some relationships between Pell and Pell-Lucas spinor sequences are obtained. Therefore, an easier and more interesting representations of Pell and Pell-Lucas quaternions, which are a generalization of Pell and Pell-Lucas number sequences, are obtained. We believe that these new spinor sequences will be useful and advantageable in many branches of science, such as geometry, algebra and physics.

Keywords

Pell, Pell-Lucas, Spinor

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Tülay Erişir
0000-0001-6444-1460
Türkiye

Gökhan Mumcu ^*
0000-0002-5828-1963
Türkiye

Mehmet Ali Güngör
0000-0003-1863-3183
Türkiye

Early Pub Date

July 16, 2024

Publication Date

December 8, 2024

Submission Date

March 13, 2024

Acceptance Date

May 18, 2024

Published in Issue

Year 2024 Volume: 12 Number: 4

DOI

https://doi.org/10.36753/mathenot.1451896

IZ

https://izlik.org/JA92GS67HT

APA

Erişir, T., Mumcu, G., & Güngör, M. A. (2024). On New Pell Spinor Sequences. Mathematical Sciences and Applications E-Notes, 12(4), 155-168. https://doi.org/10.36753/mathenot.1451896

AMA

1.Erişir T, Mumcu G, Güngör MA. On New Pell Spinor Sequences. Math. Sci. Appl. E-Notes. 2024;12(4):155-168. doi:10.36753/mathenot.1451896

Chicago

Erişir, Tülay, Gökhan Mumcu, and Mehmet Ali Güngör. 2024. “On New Pell Spinor Sequences”. Mathematical Sciences and Applications E-Notes 12 (4): 155-68. https://doi.org/10.36753/mathenot.1451896.

EndNote

Erişir T, Mumcu G, Güngör MA (December 1, 2024) On New Pell Spinor Sequences. Mathematical Sciences and Applications E-Notes 12 4 155–168.

IEEE

[1]T. Erişir, G. Mumcu, and M. A. Güngör, “On New Pell Spinor Sequences”, Math. Sci. Appl. E-Notes, vol. 12, no. 4, pp. 155–168, Dec. 2024, doi: 10.36753/mathenot.1451896.

ISNAD

Erişir, Tülay - Mumcu, Gökhan - Güngör, Mehmet Ali. “On New Pell Spinor Sequences”. Mathematical Sciences and Applications E-Notes 12/4 (December 1, 2024): 155-168. https://doi.org/10.36753/mathenot.1451896.

JAMA

1.Erişir T, Mumcu G, Güngör MA. On New Pell Spinor Sequences. Math. Sci. Appl. E-Notes. 2024;12:155–168.

MLA

Erişir, Tülay, et al. “On New Pell Spinor Sequences”. Mathematical Sciences and Applications E-Notes, vol. 12, no. 4, Dec. 2024, pp. 155-68, doi:10.36753/mathenot.1451896.

Vancouver

1.Tülay Erişir, Gökhan Mumcu, Mehmet Ali Güngör. On New Pell Spinor Sequences. Math. Sci. Appl. E-Notes. 2024 Dec. 1;12(4):155-68. doi:10.36753/mathenot.1451896