Research Article

A New Perspective On Hyper Dual Fibonnaci And Hyper Dual Lucas Numbers

Volume: 17 Number: 2 December 30, 2025
EN

A New Perspective On Hyper Dual Fibonnaci And Hyper Dual Lucas Numbers

Abstract

In this paper, we introduction hyper dual numbers with hyper dual Fibonacci and Lucas number coefficients . Firstly, we obtained for these new number recurrence relation and Binet’s formula. Using Binet’s formula, we obtained some sum formulas and specific identities.

Keywords

References

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Details

Primary Language

English

Subjects

Algebra and Number Theory, Algebraic and Differential Geometry

Journal Section

Research Article

Publication Date

December 30, 2025

Submission Date

October 10, 2024

Acceptance Date

September 15, 2025

Published in Issue

Year 2025 Volume: 17 Number: 2

APA
Turan, M., & Özkaldı Karakuş, S. (2025). A New Perspective On Hyper Dual Fibonnaci And Hyper Dual Lucas Numbers. Turkish Journal of Mathematics and Computer Science, 17(2), 527-533. https://doi.org/10.47000/tjmcs.1564888
AMA
1.Turan M, Özkaldı Karakuş S. A New Perspective On Hyper Dual Fibonnaci And Hyper Dual Lucas Numbers. TJMCS. 2025;17(2):527-533. doi:10.47000/tjmcs.1564888
Chicago
Turan, Murat, and Sıddıka Özkaldı Karakuş. 2025. “A New Perspective On Hyper Dual Fibonnaci And Hyper Dual Lucas Numbers”. Turkish Journal of Mathematics and Computer Science 17 (2): 527-33. https://doi.org/10.47000/tjmcs.1564888.
EndNote
Turan M, Özkaldı Karakuş S (December 1, 2025) A New Perspective On Hyper Dual Fibonnaci And Hyper Dual Lucas Numbers. Turkish Journal of Mathematics and Computer Science 17 2 527–533.
IEEE
[1]M. Turan and S. Özkaldı Karakuş, “A New Perspective On Hyper Dual Fibonnaci And Hyper Dual Lucas Numbers”, TJMCS, vol. 17, no. 2, pp. 527–533, Dec. 2025, doi: 10.47000/tjmcs.1564888.
ISNAD
Turan, Murat - Özkaldı Karakuş, Sıddıka. “A New Perspective On Hyper Dual Fibonnaci And Hyper Dual Lucas Numbers”. Turkish Journal of Mathematics and Computer Science 17/2 (December 1, 2025): 527-533. https://doi.org/10.47000/tjmcs.1564888.
JAMA
1.Turan M, Özkaldı Karakuş S. A New Perspective On Hyper Dual Fibonnaci And Hyper Dual Lucas Numbers. TJMCS. 2025;17:527–533.
MLA
Turan, Murat, and Sıddıka Özkaldı Karakuş. “A New Perspective On Hyper Dual Fibonnaci And Hyper Dual Lucas Numbers”. Turkish Journal of Mathematics and Computer Science, vol. 17, no. 2, Dec. 2025, pp. 527-33, doi:10.47000/tjmcs.1564888.
Vancouver
1.Murat Turan, Sıddıka Özkaldı Karakuş. A New Perspective On Hyper Dual Fibonnaci And Hyper Dual Lucas Numbers. TJMCS. 2025 Dec. 1;17(2):527-33. doi:10.47000/tjmcs.1564888