Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods

Gülsüm Liman; Refik Keskin

doi:10.46810/tdfd.1405609

Research Article

Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods

Year 2024, , 124 - 126, 26.09.2024

Gülsüm Liman , Refik Keskin

https://doi.org/10.46810/tdfd.1405609

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

Fibonacci Numbers, Lucas Numbers, Generalized Fibonacci Numbers, Generalized Lucas Numbers

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.

Year 2024, , 124 - 126, 26.09.2024

Gülsüm Liman , Refik Keskin

https://doi.org/10.46810/tdfd.1405609

Abstract

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.

There are 5 citations in total.

Details

Primary Language	English
Subjects	Algebraic Structures in Mathematical Physics
Journal Section	Articles
Authors	Gülsüm Liman 0000-0003-0214-6102 Refik Keskin 0000-0003-2547-2082
Publication Date	September 26, 2024
Submission Date	December 15, 2023
Acceptance Date	August 26, 2024
Published in Issue	Year 2024

Cite

APA	Liman, G., & Keskin, R. (2024). Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. Türk Doğa Ve Fen Dergisi, 13(3), 124-126. https://doi.org/10.46810/tdfd.1405609
AMA	Liman G, Keskin R. Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. TDFD. September 2024;13(3):124-126. doi:10.46810/tdfd.1405609
Chicago	Liman, Gülsüm, and Refik Keskin. “Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods”. Türk Doğa Ve Fen Dergisi 13, no. 3 (September 2024): 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. Türk Doğa ve Fen Dergisi 13 3 124–126.
IEEE	G. Liman and R. Keskin, “Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods”, TDFD, vol. 13, no. 3, pp. 124–126, 2024, doi: 10.46810/tdfd.1405609.
ISNAD	Liman, Gülsüm - Keskin, Refik. “Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods”. Türk Doğa ve Fen Dergisi 13/3 (September 2024), 124-126. https://doi.org/10.46810/tdfd.1405609.
JAMA	Liman G, Keskin R. Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. TDFD. 2024;13:124–126.
MLA	Liman, Gülsüm and Refik Keskin. “Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods”. Türk Doğa Ve Fen Dergisi, vol. 13, no. 3, 2024, pp. 124-6, doi:10.46810/tdfd.1405609.
Vancouver	Liman G, Keskin R. Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods. TDFD. 2024;13(3):124-6.