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Some Identities Concerning Generalized Fibonacci and Lucas Numbers by Matrix Methods

Year 2024, Volume: 13 Issue: 3, 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, Volume: 13 Issue: 3, 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 Volume: 13 Issue: 3

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. TJNS. 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”, TJNS, 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. TJNS. 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. TJNS. 2024;13(3):124-6.
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