EN
Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods
Abstract
In this study, we give some matrices whose entries consist of the terms of generalized Fibonacci and Lucas sequences. Then we give some identities concerning the terms of those sequences.
Keywords
References
- Lucas E. Théories des fonctions numériques simplement périodiqués. Amer. J. Math. 1878;1:184-240.
- Ribenboim P. My numbers, my friends: Popular lectures on number theory. Springer Verlag: Berlin-Heidelberg; 2000.
- Kalman D, Mena R. The Fibonacci numbers-exposed. Math. Mag. 2003;76:167-181.
- Şiar Z, Keskin R. Some new identities concerning generalized Fibonacci and Lucas numbers. Hacet. J. Math. Stat. 2013;42:211-222.
- Ballot CJ.-C, Williams HC. The Lucas sequences: Theory and applications. Springer; 2023.
Details
Primary Language
English
Subjects
Algebraic Structures in Mathematical Physics
Journal Section
Research Article
Publication Date
September 26, 2024
Submission Date
December 15, 2023
Acceptance Date
August 26, 2024
Published in Issue
Year 2024 Volume: 13 Number: 3
APA
Liman, G., & Keskin, R. (2024). Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. Turkish Journal of Nature and Science, 13(3), 124-126. https://doi.org/10.46810/tdfd.1405609
AMA
1.Liman G, Keskin R. Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. TJNS. 2024;13(3):124-126. doi:10.46810/tdfd.1405609
Chicago
Liman, Gülsüm, and Refik Keskin. 2024. “Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods”. Turkish Journal of Nature and Science 13 (3): 124-26. https://doi.org/10.46810/tdfd.1405609.
EndNote
Liman G, Keskin R (September 1, 2024) Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. Turkish Journal of Nature and Science 13 3 124–126.
IEEE
[1]G. Liman and R. Keskin, “Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods”, TJNS, vol. 13, no. 3, pp. 124–126, Sept. 2024, doi: 10.46810/tdfd.1405609.
ISNAD
Liman, Gülsüm - Keskin, Refik. “Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods”. Turkish Journal of Nature and Science 13/3 (September 1, 2024): 124-126. https://doi.org/10.46810/tdfd.1405609.
JAMA
1.Liman G, Keskin R. Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. TJNS. 2024;13:124–126.
MLA
Liman, Gülsüm, and Refik Keskin. “Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods”. Turkish Journal of Nature and Science, vol. 13, no. 3, Sept. 2024, pp. 124-6, doi:10.46810/tdfd.1405609.
Vancouver
1.Gülsüm Liman, Refik Keskin. Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. TJNS. 2024 Sep. 1;13(3):124-6. doi:10.46810/tdfd.1405609