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Year 2018, , 1917 - 1922, 01.12.2018

Sinan Karakaya , Halim Özdemir , Tuğba Petik

https://doi.org/10.16984/saufenbilder.479060
Cited By: 1

Abstract

References

  • [1] T. Koshy, Fibonacci and Lucas Numbers with Applications, Wiley Interscience, 2001.
  • [2] R. C. Johnson, Fibonacci Numbers and Matrices, Durham University, 2009.
  • [3] S. Vajda, Fibonacci and Lucas Numbers and the Golden Section: Theory and Applications, Ellis Horwood Limited Publ., 9-62, 1989.
  • [4] B. Demirtürk, Fibonacci and Lucas Sums with Matrix Method, International Mathematical Forum, 5(3), 99-107, 2010.
  • [5] R. A. Dunlop, The Golden Ratio and Fibonacci Numbers, World Scientific Publishing, 35-62, 1997.
  • [6] A. M. Meinke, Fibonacci Numbers and Associated Matrices, Thesis Submitted to Kent States University, 2011.
  • [7] T. Mekonnen, On The Fibonnacci Numbers, Thesis Submitted to Addis Ababa University, 2013.

3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers

Year 2018, , 1917 - 1922, 01.12.2018

Sinan Karakaya , Halim Özdemir , Tuğba Petik

https://doi.org/10.16984/saufenbilder.479060
Cited By: 1

Abstract

In the study, it has been developed a method for deriving special matrices of 3x3 dimensions, whose powers are related to Fibonacci and Lucas numbers, and some special matrices have been found via the method developed. Also, it has been given some identities related to the matrices found.

Keywords

Fibonacci numbers Lucas numbers Matrices

References

  • [1] T. Koshy, Fibonacci and Lucas Numbers with Applications, Wiley Interscience, 2001.
  • [2] R. C. Johnson, Fibonacci Numbers and Matrices, Durham University, 2009.
  • [3] S. Vajda, Fibonacci and Lucas Numbers and the Golden Section: Theory and Applications, Ellis Horwood Limited Publ., 9-62, 1989.
  • [4] B. Demirtürk, Fibonacci and Lucas Sums with Matrix Method, International Mathematical Forum, 5(3), 99-107, 2010.
  • [5] R. A. Dunlop, The Golden Ratio and Fibonacci Numbers, World Scientific Publishing, 35-62, 1997.
  • [6] A. M. Meinke, Fibonacci Numbers and Associated Matrices, Thesis Submitted to Kent States University, 2011.
  • [7] T. Mekonnen, On The Fibonnacci Numbers, Thesis Submitted to Addis Ababa University, 2013.
There are 7 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Sinan Karakaya 0000-0003-0946-690X

Halim Özdemir 0000-0003-4624-437X

Tuğba Petik 0000-0003-4635-2776

Publication Date December 1, 2018
Submission Date November 5, 2018
Acceptance Date November 12, 2018
Published in Issue Year 2018

Cite

APA Karakaya, S., Özdemir, H., & Petik, T. (2018). 3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. Sakarya University Journal of Science, 22(6), 1917-1922. https://doi.org/10.16984/saufenbilder.479060
AMA Karakaya S, Özdemir H, Petik T. 3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. SAUJS. December 2018;22(6):1917-1922. doi:10.16984/saufenbilder.479060
Chicago Karakaya, Sinan, Halim Özdemir, and Tuğba Petik. “3x3 Dimensional Special Matrices Associated With Fibonacci and Lucas Numbers”. Sakarya University Journal of Science 22, no. 6 (December 2018): 1917-22. https://doi.org/10.16984/saufenbilder.479060.
EndNote Karakaya S, Özdemir H, Petik T (December 1, 2018) 3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. Sakarya University Journal of Science 22 6 1917–1922.
IEEE S. Karakaya, H. Özdemir, and T. Petik, “3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers”, SAUJS, vol. 22, no. 6, pp. 1917–1922, 2018, doi: 10.16984/saufenbilder.479060.
ISNAD Karakaya, Sinan et al. “3x3 Dimensional Special Matrices Associated With Fibonacci and Lucas Numbers”. Sakarya University Journal of Science 22/6 (December 2018), 1917-1922. https://doi.org/10.16984/saufenbilder.479060.
JAMA Karakaya S, Özdemir H, Petik T. 3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. SAUJS. 2018;22:1917–1922.
MLA Karakaya, Sinan et al. “3x3 Dimensional Special Matrices Associated With Fibonacci and Lucas Numbers”. Sakarya University Journal of Science, vol. 22, no. 6, 2018, pp. 1917-22, doi:10.16984/saufenbilder.479060.
Vancouver Karakaya S, Özdemir H, Petik T. 3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. SAUJS. 2018;22(6):1917-22.

Cited By

3x3 BOYUTLU ÖZEL PELL VE PELL LUCAS MATRİSLERİ
Düzce Üniversitesi Bilim ve Teknoloji Dergisi
Fikri KÖKEN
https://doi.org/10.29130/dubited.582108

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