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Some Matrix Applications on the Special Integer Number Sequences
Abstract
In this paper, the matrices related to Fibonacci, Lucas, Pell, and Pell-Lucas numbers have been examined. By using these matrices new identities related to these integer sequences have been investigated.
Keywords
References
- Silvester, J.R. (1979). Fibonacci properties by matrix methods. The Mathematical Gazette, 63(425), 188-191.
- Ercolano, J. (1979). Matrix generator of Pell sequence. Fibonacci Quarterly, 17(1), 71-77.
- Hoggatt, V.E. (1969). Fibonacci and Lucas Numbers. Palo Alto: CA: Houghton- Mifflin.
- Köken, F., & Bozkurt D. (2010). On Lucas numbers by the matrix method. Hacettepe Journal of Mathematics and Statistics, 39, 471-475.
- Akbaba, Ü., Değer, A.H., & Tuylu, T. (2018). On some connections between suborbital graphs and special sequences. Turkish Journal of Mathematics and Computer Science, 10,134-143.
- Değer, A.H. (2017).Vertices of paths of minimal lengths on suborbital graphs. Filomat, 31,913-923.
- Değer, A.H. (2017). Relationships with the Fibonacci numbers and the special vertices of the suborbital graphs. Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 7, 168-180.
- Akbaba, Ü. & Değer A.H. (2022). Relation between matrices and the suborbital graphs by the special number sequences. Turkish Journal of Mathematics, 46 (3), 753-767.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Authors
Publication Date
May 31, 2023
Submission Date
December 15, 2022
Acceptance Date
March 6, 2023
Published in Issue
Year 2023 Volume: 10 Number: 1
APA
Akbaba, Ü. (2023). Some Matrix Applications on the Special Integer Number Sequences. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, 10(1), 209-216. https://doi.org/10.35193/bseufbd.1219370
AMA
1.Akbaba Ü. Some Matrix Applications on the Special Integer Number Sequences. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi. 2023;10(1):209-216. doi:10.35193/bseufbd.1219370
Chicago
Akbaba, Ümmügülsün. 2023. “Some Matrix Applications on the Special Integer Number Sequences”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 10 (1): 209-16. https://doi.org/10.35193/bseufbd.1219370.
EndNote
Akbaba Ü (May 1, 2023) Some Matrix Applications on the Special Integer Number Sequences. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 10 1 209–216.
IEEE
[1]Ü. Akbaba, “Some Matrix Applications on the Special Integer Number Sequences”, Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, vol. 10, no. 1, pp. 209–216, May 2023, doi: 10.35193/bseufbd.1219370.
ISNAD
Akbaba, Ümmügülsün. “Some Matrix Applications on the Special Integer Number Sequences”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 10/1 (May 1, 2023): 209-216. https://doi.org/10.35193/bseufbd.1219370.
JAMA
1.Akbaba Ü. Some Matrix Applications on the Special Integer Number Sequences. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi. 2023;10:209–216.
MLA
Akbaba, Ümmügülsün. “Some Matrix Applications on the Special Integer Number Sequences”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, vol. 10, no. 1, May 2023, pp. 209-16, doi:10.35193/bseufbd.1219370.
Vancouver
1.Ümmügülsün Akbaba. Some Matrix Applications on the Special Integer Number Sequences. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi. 2023 May 1;10(1):209-16. doi:10.35193/bseufbd.1219370
Cited By
Fibonacci Numbers Sequence Derived From Suborbital Graphs for the Modular Group Γ
Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi
https://doi.org/10.35193/bseufbd.1430251