On Gaussian Quadra Fibona-Pell Sequence and A Quaternion Sequence Formed by the Terms of This Sequence

Arzu Özkoç Öztürk; Faruk Kaplan

doi:10.29130/dubited.1555372

TR

On Gaussian Quadra Fibona-Pell Sequence and A Quaternion Sequence Formed by the Terms of This Sequence

Abstract

In this study, the Gaussian quadra Fibona-Pell sequence is proposed and examined. The quadra Fibona-Pell sequence is first extended to define the Gaussian quadra Fibona-Pell sequence. Then the generating function, Binet-like formula, and some identities are represented. In addition, some formulas related to the Gaussian quadra Fibona-Pell sequence and some matrices containing terms of the sequence are studied. Finally we define a quaternion sequence formed by the terms of Gaussian quadra Fibona-Pell sequence.

Keywords

Fourth-order recurrence relation, Gaussian numbers, Quaternion.

References

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Details

Primary Language

Turkish

Subjects

Mechanical Engineering (Other)

Journal Section

Research Article

Authors

Arzu Özkoç Öztürk ^*
0000-0002-2196-3725
Türkiye

Faruk Kaplan
0000-0002-6860-1553
Türkiye

Publication Date

January 30, 2025

Submission Date

September 24, 2024

Acceptance Date

October 18, 2024

Published in Issue

Year 2025 Volume: 13 Number: 1

DOI

https://doi.org/10.29130/dubited.1555372

IZ

https://izlik.org/JA29US69ZZ

APA

Özkoç Öztürk, A., & Kaplan, F. (2025). On Gaussian Quadra Fibona-Pell Sequence and A Quaternion Sequence Formed by the Terms of This Sequence. Duzce University Journal of Science and Technology, 13(1), 299-316. https://doi.org/10.29130/dubited.1555372

AMA

1.Özkoç Öztürk A, Kaplan F. On Gaussian Quadra Fibona-Pell Sequence and A Quaternion Sequence Formed by the Terms of This Sequence. DUBİTED. 2025;13(1):299-316. doi:10.29130/dubited.1555372

Chicago

Özkoç Öztürk, Arzu, and Faruk Kaplan. 2025. “On Gaussian Quadra Fibona-Pell Sequence and A Quaternion Sequence Formed by the Terms of This Sequence”. Duzce University Journal of Science and Technology 13 (1): 299-316. https://doi.org/10.29130/dubited.1555372.

EndNote

Özkoç Öztürk A, Kaplan F (January 1, 2025) On Gaussian Quadra Fibona-Pell Sequence and A Quaternion Sequence Formed by the Terms of This Sequence. Duzce University Journal of Science and Technology 13 1 299–316.

IEEE

[1]A. Özkoç Öztürk and F. Kaplan, “On Gaussian Quadra Fibona-Pell Sequence and A Quaternion Sequence Formed by the Terms of This Sequence”, DUBİTED, vol. 13, no. 1, pp. 299–316, Jan. 2025, doi: 10.29130/dubited.1555372.

ISNAD

Özkoç Öztürk, Arzu - Kaplan, Faruk. “On Gaussian Quadra Fibona-Pell Sequence and A Quaternion Sequence Formed by the Terms of This Sequence”. Duzce University Journal of Science and Technology 13/1 (January 1, 2025): 299-316. https://doi.org/10.29130/dubited.1555372.

JAMA

1.Özkoç Öztürk A, Kaplan F. On Gaussian Quadra Fibona-Pell Sequence and A Quaternion Sequence Formed by the Terms of This Sequence. DUBİTED. 2025;13:299–316.

MLA

Özkoç Öztürk, Arzu, and Faruk Kaplan. “On Gaussian Quadra Fibona-Pell Sequence and A Quaternion Sequence Formed by the Terms of This Sequence”. Duzce University Journal of Science and Technology, vol. 13, no. 1, Jan. 2025, pp. 299-16, doi:10.29130/dubited.1555372.

Vancouver

1.Arzu Özkoç Öztürk, Faruk Kaplan. On Gaussian Quadra Fibona-Pell Sequence and A Quaternion Sequence Formed by the Terms of This Sequence. DUBİTED. 2025 Jan. 1;13(1):299-316. doi:10.29130/dubited.1555372

On Gaussian Quadra Fibona-Pell Sequence and A Quaternion Sequence Formed by the Terms of This Sequence

Abstract

Keywords

Abstract

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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