| تعداد نشریات | 32 |
| تعداد شمارهها | 852 |
| تعداد مقالات | 8,256 |
| تعداد مشاهده مقاله | 52,579,396 |
| تعداد دریافت فایل اصل مقاله | 9,090,134 |
Generalized dual Leonardo quaternion numbers | ||
| Journal of Algebra and Related Topics | ||
| دوره 14، Special Issue- Dedicated to the memory of Jürgen Herzog (1941-2024).، تیر 2026، صفحه 37-48 اصل مقاله (151.13 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2025.28119.1698 | ||
| نویسنده | ||
| F. Torunbalci Aydin* | ||
| Yildiz Technical University, Davutpasa Campus, Faculty of Chemical and Metallurgical Engineering, Department of Mathematical Engineering | ||
| چکیده | ||
| In this paper, we introduce dual k-Leonardo quaternions which we call generalized dual Leonardo quaternion numbers. Some algebraic properties of these quaternions such as recurrence relation, generating function, Binet’s formula, generating function, Cassini identity, sum formulas will also be obtained. | ||
| کلیدواژهها | ||
| Fibonacci number؛ Leonardo number؛ Generalized Leonardo number؛ Dual quaternion؛ Generalized dual Leonardo quaternion | ||
| مراجع | ||
|
[1] E. Ata and Y. Yaylı, Dual quaternions and dual projective spaces, Chaos Solitons Fractals, (3) 40 (2009), 1255-1263. [2] P. Catarino and A. Borges, On Leonardo numbers, Acta Math. Univ. Comen., (1) 89 (2019), 75-76. [3] P. Catarino and A. Borges, A note on incomplete Leonardo numbers, Integers., 20 (2020), 1-7. [4] G. F. T. Del Castillo, 3-D Spinors, Spin-weighted Functions and their Applicatiğns, Springer Science and Business Media, 2003. [5] S. Halıcı, On Fibonacci Quaternions, Adv. in Appl.Clifford Algebras, (2) 22 (2012), 321-327. [6] W. R. Hamilton, Elements of Quaternions, Longmans, Green and Co., London, 1866. [7] A. F. Horadam, Complex Fibonacci numbers and Fibonacci quaternions, The American Mathematical Monthly, (3) 70 (1963), 289-291. [8] K. Kuhapatanakul and J. Chobsorn, On the generalized Leonardo numbers, (2) 22, (2022). [9] F. Kürüz, A.Dağdeviren and P. Catarino, On Leonardo pisano hybrinomials, Mathematics, (9) 22 (2021). [10] V. Majernik, Quaternion formulation of the Galilean space-time transformation, Acta Phy. Slovaca, (1) 56 (2006), 9-14. [11] S. K. Nurkan and I. A. Güven, Ordered Leonardo quadruple numbers, Symmetry, (1) 15 (2023), 149. [12] S. K. Nurkan and I. A. Güven, Dual Fibonacci Quaternions, Adv. in Appl.Clifford Algebras, 25 (2015), 403-414. [13] A. G. Shannon, A note on generalized Leonardo numbers, Note on Number Theory and Discrete Mathematics, (3) 25 (2019), 97-101. [14] Y. Soykan, Generalized Leonardo numbers, Journal of Progressive Research in Mathematics, (4) 18 (2021), 58-84. [15] A. Yasemin and E. G. Koçer, Some properties of Leonardo numbers, Konuralp J. Math., (1) 9 (2021), 183-189. [16] S. Yüce and F. Torunbalcı Aydın, A new aspect of dual Fibonacci quaternions, Adv. in Appl.Clifford Algebras, 26 (2016), 873-884. | ||
|
آمار تعداد مشاهده مقاله: 121 تعداد دریافت فایل اصل مقاله: 64 |
||