3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers
Yıl: 2018 Cilt: 22 Sayı: 6 Sayfa Aralığı: 1917 - 1922 Metin Dili: İngilizce DOI: 10.16984/saufenbilder.479060 İndeks Tarihi: 01-11-2019
3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers
Öz: In the study, it has been developed a method for deriving special matrices of 3 × 3 dimensions, whosepowers are related to Fibonacci and Lucas numbers, and some special matrices have been found via themethod developed.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- T. Koshy, Fibonacci and Lucas Numbers with Applications, Wiley Interscience, 2001.
- R. C. Johnson, Fibonacci Numbers and Matrices, Durham University, 2009, http://maths.dur.ac.uk/~dma0rcj/PED/b.pdf.
- S. Vajda, Fibonacci and Lucas Numbers and the Golden Section: Theory and Applications, Ellis Horwood Limited Publ., 9-62, 1989.
- B. Demirtürk, Fibonacci and Lucas Sums with Matrix Method, International Mathematical Forum, 5(3), 99-107, 2010.
- R. A. Dunlop, The Golden Ratio and Fibonacci Numbers, World Scientific Publishing, 35-62, 1997.
- A. M. Meinke, Fibonacci Numbers and Associated Matrices, Thesis Submitted to Kent States University, 2011.
- T. Mekonnen, On The Fibonnacci Numbers, Thesis Submitted to Addis Ababa University, 2013.
- R. Keskin, B. Demirtürk, Some new Fibonacci and Lucas identities by matrix methods. Internat. J. Math. Ed. Sci. Tech. 41, 3, 379-387, 2010.
| APA | KARAKAYA S, Özdemir H, Demirkol T (2018). 3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. , 1917 - 1922. 10.16984/saufenbilder.479060 |
| Chicago | KARAKAYA Sinan,Özdemir Halim,Demirkol Tuğba 3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. (2018): 1917 - 1922. 10.16984/saufenbilder.479060 |
| MLA | KARAKAYA Sinan,Özdemir Halim,Demirkol Tuğba 3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. , 2018, ss.1917 - 1922. 10.16984/saufenbilder.479060 |
| AMA | KARAKAYA S,Özdemir H,Demirkol T 3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. . 2018; 1917 - 1922. 10.16984/saufenbilder.479060 |
| Vancouver | KARAKAYA S,Özdemir H,Demirkol T 3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. . 2018; 1917 - 1922. 10.16984/saufenbilder.479060 |
| IEEE | KARAKAYA S,Özdemir H,Demirkol T "3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers." , ss.1917 - 1922, 2018. 10.16984/saufenbilder.479060 |
| ISNAD | KARAKAYA, Sinan vd. "3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers". (2018), 1917-1922. https://doi.org/10.16984/saufenbilder.479060 |
| APA | KARAKAYA S, Özdemir H, Demirkol T (2018). 3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(6), 1917 - 1922. 10.16984/saufenbilder.479060 |
| Chicago | KARAKAYA Sinan,Özdemir Halim,Demirkol Tuğba 3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22, no.6 (2018): 1917 - 1922. 10.16984/saufenbilder.479060 |
| MLA | KARAKAYA Sinan,Özdemir Halim,Demirkol Tuğba 3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.22, no.6, 2018, ss.1917 - 1922. 10.16984/saufenbilder.479060 |
| AMA | KARAKAYA S,Özdemir H,Demirkol T 3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2018; 22(6): 1917 - 1922. 10.16984/saufenbilder.479060 |
| Vancouver | KARAKAYA S,Özdemir H,Demirkol T 3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2018; 22(6): 1917 - 1922. 10.16984/saufenbilder.479060 |
| IEEE | KARAKAYA S,Özdemir H,Demirkol T "3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers." Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22, ss.1917 - 1922, 2018. 10.16984/saufenbilder.479060 |
| ISNAD | KARAKAYA, Sinan vd. "3×3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers". Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/6 (2018), 1917-1922. https://doi.org/10.16984/saufenbilder.479060 |
