On the a New Family of k-Fibonacci Numbers
Yıl: 2016 Cilt: 9 Sayı: 1 Sayfa Aralığı: 95 - 101 Metin Dili: Türkçe İndeks Tarihi: 29-07-2022
On the a New Family of k-Fibonacci Numbers
Öz: Bu çalışmada, (Mikkawy ve Sogabe, 2010) çalışmasında tanımlanan yeni bir ailenin, { ( )} Fibonacci dizilerinin moduna göre basit periyodik diziler olduğu gösterildi. Yeni aile ve bilinen Fibonacci sayıları arasındaki bazı ilişkileri verdik. Ayrıca, yeni aile ve Lucas sayıları ile ilgili bazı teoremleri ispatladık
Anahtar Kelime: k-Fibonacci Sayılarının Yeni Bir Ailesi Üzerine
Öz: In this paper, it was showed that Fibonacci sequences { ( )} of a new family defined in work of (Mikkawy and Sogabe, 2010) are simply periodic sequences according to modulo . We gave some relationship between the new family and ordinary Fibonacci numbers. Also, we proved some theorems concerning the new family and Lucas numbers.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- Arı, K., 2015. On h(x)-Lucas Quaternion Polynomials. Ars Combinatoria, 121, 291-303.
- Campbell, C. M., Campbell, P. P., 2005. The Fibonacci length of certain centropolyhedral groups. Journal of Applied Mathematics and Computing 19, No.1-2, 231-240.
- Deveci, Ö., 2011. The Polytopic sequences in finite groups. Discrete Dynamics in Nature and Society Vol. 2011, 12 pages.
- Deveci, Ö., 2015. The Pell-padovan sequences and The Jacobsthal-Padovan seuences in finite groups. Util. Math. 98, 257-270.
- Grabowski, A., Wojtecki, P., 2004. Lucas numbers and generalized Fibonacci numbers. Form. Math. 12, 329-334.
- İpek, A., Arı, K., 2014. On Hessenberg and pentadiagonal determinants related with Fibonacci and Fibonacci-like numbers. Applied Mathematics and Computation, 229 (25), 433-439.
- İpek, A., Arı, K., 2015. On h(x)-Fibonacci octonion polynomials. Alabama Journal of Mathematics, 39.
- Kılıç, E., Tasci, D., 2006. On the Generalized Order-k Fibonacci and Lucas Numbers. Rocky Mountain Journal of Mathematics, 36, 1915-1926.
- Knox, S. W., 1992. Fibonacci Sequences In Finite groups. Fibonacci Quart., 30 No:2, 116-120.
- Lee, G. Y., 2000. k-Lucas numbers and associated bipartite graph. Linear Algebra and its Applications 320, 51-61.
- Lü, K., Wang, J., 2007. k -step Fibonacci sequence modulo m . Util. Math. 71, 169-178.
- Mikkawy, M., Sogabe, T., 2010. A new family of k-Fibonacci numbers. Applied Mathematics and Computation 215, 4456-4461.
- Stanimirovic, P. S., Nikolov J., Stanimirovic, I., 2008. A generalization of Fibonacci and Lucas matrices. Discrete Applied Mathematics 156, 2606-2619.
- Taher, R. B., Rachidi, M., 2003. On the matrix power and exponential by the rgeneralized Fibonacci sequences methods: the companion matrix case. Linear Algebra and its Applications 370, 341-353.
- Taşçı, D., Kılıç, E., 2004. On the order-k generalized Lucas numbers. Applied Mathematics and Computation, 155, 637-641.
- Taşyurdu, Y., Gültekin, İ., 2013. On period of Fibonacci Sequences in Finite Rings with Identity of Order
- . Journal of Mathematics and System Science, 3(7), 349-352.
- Taşyurdu, Y., Gültekin, İ., 2016. New Trends in Mathematical Sciences. The Period of Fibonacci Sequences Over The Finite Field of Order p^2, 4 (1), 248-255.
- Wall, D. D., 1960. Fibonacci Series Modulo m. The American Mathematical Monthly 67, 525-532.
| APA | TAŞYURDU Y, ÇOBANOĞLU N, DİLMEN Z (2016). On the a New Family of k-Fibonacci Numbers. , 95 - 101. |
| Chicago | TAŞYURDU Yasemin,ÇOBANOĞLU Nurdan,DİLMEN Zülküf On the a New Family of k-Fibonacci Numbers. (2016): 95 - 101. |
| MLA | TAŞYURDU Yasemin,ÇOBANOĞLU Nurdan,DİLMEN Zülküf On the a New Family of k-Fibonacci Numbers. , 2016, ss.95 - 101. |
| AMA | TAŞYURDU Y,ÇOBANOĞLU N,DİLMEN Z On the a New Family of k-Fibonacci Numbers. . 2016; 95 - 101. |
| Vancouver | TAŞYURDU Y,ÇOBANOĞLU N,DİLMEN Z On the a New Family of k-Fibonacci Numbers. . 2016; 95 - 101. |
| IEEE | TAŞYURDU Y,ÇOBANOĞLU N,DİLMEN Z "On the a New Family of k-Fibonacci Numbers." , ss.95 - 101, 2016. |
| ISNAD | TAŞYURDU, Yasemin vd. "On the a New Family of k-Fibonacci Numbers". (2016), 95-101. |
| APA | TAŞYURDU Y, ÇOBANOĞLU N, DİLMEN Z (2016). On the a New Family of k-Fibonacci Numbers. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 9(1), 95 - 101. |
| Chicago | TAŞYURDU Yasemin,ÇOBANOĞLU Nurdan,DİLMEN Zülküf On the a New Family of k-Fibonacci Numbers. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi 9, no.1 (2016): 95 - 101. |
| MLA | TAŞYURDU Yasemin,ÇOBANOĞLU Nurdan,DİLMEN Zülküf On the a New Family of k-Fibonacci Numbers. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.9, no.1, 2016, ss.95 - 101. |
| AMA | TAŞYURDU Y,ÇOBANOĞLU N,DİLMEN Z On the a New Family of k-Fibonacci Numbers. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2016; 9(1): 95 - 101. |
| Vancouver | TAŞYURDU Y,ÇOBANOĞLU N,DİLMEN Z On the a New Family of k-Fibonacci Numbers. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2016; 9(1): 95 - 101. |
| IEEE | TAŞYURDU Y,ÇOBANOĞLU N,DİLMEN Z "On the a New Family of k-Fibonacci Numbers." Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 9, ss.95 - 101, 2016. |
| ISNAD | TAŞYURDU, Yasemin vd. "On the a New Family of k-Fibonacci Numbers". Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi 9/1 (2016), 95-101. |
