Yıl 2018, Cilt 22, Sayı 6, Sayfalar 1917 - 1922 2018-12-01

3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers

Halim Özdemir [1] , Tuğba Petik [2] , Sinan Karakaya [3]

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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.
Fibonacci numbers, Lucas numbers, Matrices
  • [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.
Birincil Dil en
Konular Matematik
Yayımlanma Tarihi December 2018
Dergi Bölümü Araştırma Makalesi
Yazarlar

Orcid: 0000-0003-4624-437X
Yazar: Halim Özdemir (Sorumlu Yazar)
Kurum: SAKARYA UNIVERSITY
Ülke: Turkey


Orcid: 0000-0003-4635-2776
Yazar: Tuğba Petik
Kurum: SAKARYA UNIVERSITY
Ülke: Turkey


Orcid: 0000-0003-0946-690X
Yazar: Sinan Karakaya
Kurum: SAKARYA UNIVERSITY
Ülke: Turkey


Bibtex @araştırma makalesi { saufenbilder479060, journal = {Sakarya University Journal of Science}, issn = {1301-4048}, eissn = {2147-835X}, address = {Sakarya Üniversitesi}, year = {2018}, volume = {22}, pages = {1917 - 1922}, doi = {10.16984/saufenbilder.479060}, title = {3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers}, key = {cite}, author = {Petik, Tuğba and Karakaya, Sinan and Özdemir, Halim} }
APA Özdemir, H , Petik, T , Karakaya, S . (2018). 3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers. Sakarya University Journal of Science, 22 (6), 1917-1922. DOI: 10.16984/saufenbilder.479060
MLA Özdemir, H , Petik, T , Karakaya, S . "3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers". Sakarya University Journal of Science 22 (2018): 1917-1922 <http://www.saujs.sakarya.edu.tr/issue/31266/479060>
Chicago Özdemir, H , Petik, T , Karakaya, S . "3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers". Sakarya University Journal of Science 22 (2018): 1917-1922
RIS TY - JOUR T1 - 3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers AU - Halim Özdemir , Tuğba Petik , Sinan Karakaya Y1 - 2018 PY - 2018 N1 - doi: 10.16984/saufenbilder.479060 DO - 10.16984/saufenbilder.479060 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 1917 EP - 1922 VL - 22 IS - 6 SN - 1301-4048-2147-835X M3 - doi: 10.16984/saufenbilder.479060 UR - http://dx.doi.org/10.16984/saufenbilder.479060 Y2 - 2018 ER -
EndNote %0 Sakarya University Journal of Science 3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers %A Halim Özdemir , Tuğba Petik , Sinan Karakaya %T 3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers %D 2018 %J Sakarya University Journal of Science %P 1301-4048-2147-835X %V 22 %N 6 %R doi: 10.16984/saufenbilder.479060 %U 10.16984/saufenbilder.479060
ISNAD Özdemir, Halim , Petik, Tuğba , Karakaya, Sinan . "3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers". Sakarya University Journal of Science 22 / 6 (Aralık 2018): 1917-1922. http://dx.doi.org/10.16984/saufenbilder.479060