Research Article

Bicomplex Numbers: Further Contributions to a Fibonacci and Fibonacci -Lucas Matrices Oriented Approach

Volume: 10 Number: 4 December 31, 2021
EN TR

Bicomplex Numbers: Further Contributions to a Fibonacci and Fibonacci -Lucas Matrices Oriented Approach

Abstract

In this study, by using Fibonacci Q-matrix and Lucas Q^'-matrix we define bicomplex Fibonacci Q-matrix and bicomplex Lucas Q^'-matrix. After that using this matrix representation, we give some identities.

Keywords

References

  1. Referans1 Price G. B. 1991. An Introduction to Multicomplex Spaces and Functions, Marcel Dekker, Inc: New York. I(1)-44(1).
  2. Referans2 Dunlap R. A. 1997. The Golden Ratio and Fibonacci Numbers. World Scientific Press.
  3. Referans3 Vajda S. 1989. Fibonacci and Lucas numbers, and the Golden Section. Theory and Applications, Halsted Press.
  4. Referans4 Hoggatt V. E. 1969. Fibonacci and Lucas Numbers published by The Fibonacci Association.
  5. Referans5 Iyer M. R. 1969. Some Results on Fibonacci Quaternions. The Fibonacci Quarterly, 7(2), 201-210.
  6. Referans6 Knuth D. 2013. Negafibonacci Numbers and Hyperbolic Plane. Annual Meeting of the Math. Association of America.
  7. Referans7 Horadam A. F. 191. A Generalized Fibonacci Sequence. American Math. Monthly, 68.
  8. Referans8 Iyer M. R. 1969. Identities Involving Generalized Fibonacci Numbers. the Fibonacci Quarterly, 7(1), 66-72.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

December 31, 2021

Submission Date

June 18, 2021

Acceptance Date

October 19, 2021

Published in Issue

Year 2021 Volume: 10 Number: 4

APA
Babadağ, F. (2021). Bicomplex Numbers: Further Contributions to a Fibonacci and Fibonacci -Lucas Matrices Oriented Approach. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 10(4), 1386-1393. https://doi.org/10.17798/bitlisfen.954321
AMA
1.Babadağ F. Bicomplex Numbers: Further Contributions to a Fibonacci and Fibonacci -Lucas Matrices Oriented Approach. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2021;10(4):1386-1393. doi:10.17798/bitlisfen.954321
Chicago
Babadağ, Faik. 2021. “Bicomplex Numbers: Further Contributions to a Fibonacci and Fibonacci -Lucas Matrices Oriented Approach”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 10 (4): 1386-93. https://doi.org/10.17798/bitlisfen.954321.
EndNote
Babadağ F (December 1, 2021) Bicomplex Numbers: Further Contributions to a Fibonacci and Fibonacci -Lucas Matrices Oriented Approach. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 10 4 1386–1393.
IEEE
[1]F. Babadağ, “Bicomplex Numbers: Further Contributions to a Fibonacci and Fibonacci -Lucas Matrices Oriented Approach”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 10, no. 4, pp. 1386–1393, Dec. 2021, doi: 10.17798/bitlisfen.954321.
ISNAD
Babadağ, Faik. “Bicomplex Numbers: Further Contributions to a Fibonacci and Fibonacci -Lucas Matrices Oriented Approach”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 10/4 (December 1, 2021): 1386-1393. https://doi.org/10.17798/bitlisfen.954321.
JAMA
1.Babadağ F. Bicomplex Numbers: Further Contributions to a Fibonacci and Fibonacci -Lucas Matrices Oriented Approach. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2021;10:1386–1393.
MLA
Babadağ, Faik. “Bicomplex Numbers: Further Contributions to a Fibonacci and Fibonacci -Lucas Matrices Oriented Approach”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 10, no. 4, Dec. 2021, pp. 1386-93, doi:10.17798/bitlisfen.954321.
Vancouver
1.Faik Babadağ. Bicomplex Numbers: Further Contributions to a Fibonacci and Fibonacci -Lucas Matrices Oriented Approach. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2021 Dec. 1;10(4):1386-93. doi:10.17798/bitlisfen.954321

Bitlis Eren University

Journal of Science Editor

Bitlis Eren University Graduate Institute

Bes Minare Mah. Ahmet Eren Bulvari, Merkez Kampus, 13000 BITLIS

E-mail: fbe@beu.edu.tr