EN
Hyper-Dual Leonardo Numbers
Abstract
In the present paper, the hyper-dual Leonardo numbers will be introduced with the use of Leonardo numbers. Some algebraic properties of these numbers such as recurrence relation, generating function, Catalan's and Cassini's identity, Binet's formula, sum formulas will also be obtained.
Keywords
References
- 1] Y. Alp and E. G Kocer, Some properties of Leonardo numbers, Konuralp J. Math. 9(1) (2021), 183-189.
- [2] Y. Alp and E. G Kocer, Hybrid Leonardo numbers, Chaos, Solitons and Fractals 150 (2021), 111-128.
- [3] F. R. V. Alves and P. Catarino, A forma matricial dos n ́umeros de Leonardo, Ciencia e natura, 42, (2020).
- [4] P. Catarino and A. Borges, On Leonardo Numbers, Acta Mathematica Universitatis Comenianae, Vol:89, No.1 (2019), 75-86.
- [5] P. Catarino and A. Borges, A Note on Incomplete Leonardo Numbers, Integers, Vol:20 (2020).
- [6] W. K Clifford, Preliminary sketch of biquaternions, Proc London Mathematical Society. 4(64), (1873), 381-395.
- [7] A. Cohen and M. Shoham, Application of hyper-dual numbers to multi-body kinematics. J. Mech. Rob. 8, (2015). doi: 10.1115/1.4030588.
- [8] A. Cohen and M. Shoham, Application of hyper-dual numbers to rigid bodies equations of motion. J. Mech. Mach. Theory. 111, (2017), 76-84 .
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
October 31, 2022
Submission Date
September 23, 2022
Acceptance Date
October 18, 2022
Published in Issue
Year 2022 Volume: 10 Number: 2
APA
Özkaldı Karakuş, S., Kaya Nurkan, S., & Turan, M. (2022). Hyper-Dual Leonardo Numbers. Konuralp Journal of Mathematics, 10(2), 269-275. https://izlik.org/JA88JP42NC
AMA
1.Özkaldı Karakuş S, Kaya Nurkan S, Turan M. Hyper-Dual Leonardo Numbers. Konuralp J. Math. 2022;10(2):269-275. https://izlik.org/JA88JP42NC
Chicago
Özkaldı Karakuş, Sıddıka, Semra Kaya Nurkan, and Murat Turan. 2022. “Hyper-Dual Leonardo Numbers”. Konuralp Journal of Mathematics 10 (2): 269-75. https://izlik.org/JA88JP42NC.
EndNote
Özkaldı Karakuş S, Kaya Nurkan S, Turan M (October 1, 2022) Hyper-Dual Leonardo Numbers. Konuralp Journal of Mathematics 10 2 269–275.
IEEE
[1]S. Özkaldı Karakuş, S. Kaya Nurkan, and M. Turan, “Hyper-Dual Leonardo Numbers”, Konuralp J. Math., vol. 10, no. 2, pp. 269–275, Oct. 2022, [Online]. Available: https://izlik.org/JA88JP42NC
ISNAD
Özkaldı Karakuş, Sıddıka - Kaya Nurkan, Semra - Turan, Murat. “Hyper-Dual Leonardo Numbers”. Konuralp Journal of Mathematics 10/2 (October 1, 2022): 269-275. https://izlik.org/JA88JP42NC.
JAMA
1.Özkaldı Karakuş S, Kaya Nurkan S, Turan M. Hyper-Dual Leonardo Numbers. Konuralp J. Math. 2022;10:269–275.
MLA
Özkaldı Karakuş, Sıddıka, et al. “Hyper-Dual Leonardo Numbers”. Konuralp Journal of Mathematics, vol. 10, no. 2, Oct. 2022, pp. 269-75, https://izlik.org/JA88JP42NC.
Vancouver
1.Sıddıka Özkaldı Karakuş, Semra Kaya Nurkan, Murat Turan. Hyper-Dual Leonardo Numbers. Konuralp J. Math. [Internet]. 2022 Oct. 1;10(2):269-75. Available from: https://izlik.org/JA88JP42NC
