Research Article

Hyper-Dual Leonardo Numbers

Volume: 10 Number: 2 October 31, 2022
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. 1] Y. Alp and E. G Kocer, Some properties of Leonardo numbers, Konuralp J. Math. 9(1) (2021), 183-189.
  2. [2] Y. Alp and E. G Kocer, Hybrid Leonardo numbers, Chaos, Solitons and Fractals 150 (2021), 111-128.
  3. [3] F. R. V. Alves and P. Catarino, A forma matricial dos n ́umeros de Leonardo, Ciencia e natura, 42, (2020).
  4. [4] P. Catarino and A. Borges, On Leonardo Numbers, Acta Mathematica Universitatis Comenianae, Vol:89, No.1 (2019), 75-86.
  5. [5] P. Catarino and A. Borges, A Note on Incomplete Leonardo Numbers, Integers, Vol:20 (2020).
  6. [6] W. K Clifford, Preliminary sketch of biquaternions, Proc London Mathematical Society. 4(64), (1873), 381-395.
  7. [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. [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
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.