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On Some Matrix Representations of Bicomplex Numbers

Year 2019, Volume: 7 Issue: 2, 449 - 455, 15.10.2019

Abstract

In this work, we have defined bicomplex numbers whose coefficients are from the Fibonacci sequence. We examined the matrix representations and algebraic properties of these numbers. We also computed the eigenvalues and eigenvectors of these particular matrices.

Supporting Institution

Pamukkale Üni.

References

  • [1] Elizarraras, L. Bicomplex numbers and their elementary functions. Cubo, Temuco. 14, 2 (2012), 61–80.
  • [2] Elizarraras, L. Bicomplex holomorphic functions : The algebra, geometry and analysis of bicomplex numbers, vol. 2015. 2015.
  • [3] Halıcı, S. On fibonacci quaternions. Advances in Applied Clifford Algebras 22, 2 (2012), 321–327.
  • [4] Halıcı, S. On bicomplex fibonacci numbers and theirs generalization. In Models and Theories in Social Systems (2019).
  • [5] Horadam, A. F. Complex fibonacci numbers and fibonacci quaternions. The American Mathematical Monthly 70, 3 (1963), 289–291.
  • [6] Horadam, A. F. Basic properties of a certain generalized sequence of numbers. Fibonacci Quart. 3, 3 (1965), 161–176.
  • [7] Koshy, T. Fibonacci and Lucas numbers with applications. 2011.
  • [8] Torunbalcı, A. Bicomplexfibonacci quaternions. Chaos, Solitons and Fractals 106 (2018), 147–153.
Year 2019, Volume: 7 Issue: 2, 449 - 455, 15.10.2019

Abstract

References

  • [1] Elizarraras, L. Bicomplex numbers and their elementary functions. Cubo, Temuco. 14, 2 (2012), 61–80.
  • [2] Elizarraras, L. Bicomplex holomorphic functions : The algebra, geometry and analysis of bicomplex numbers, vol. 2015. 2015.
  • [3] Halıcı, S. On fibonacci quaternions. Advances in Applied Clifford Algebras 22, 2 (2012), 321–327.
  • [4] Halıcı, S. On bicomplex fibonacci numbers and theirs generalization. In Models and Theories in Social Systems (2019).
  • [5] Horadam, A. F. Complex fibonacci numbers and fibonacci quaternions. The American Mathematical Monthly 70, 3 (1963), 289–291.
  • [6] Horadam, A. F. Basic properties of a certain generalized sequence of numbers. Fibonacci Quart. 3, 3 (1965), 161–176.
  • [7] Koshy, T. Fibonacci and Lucas numbers with applications. 2011.
  • [8] Torunbalcı, A. Bicomplexfibonacci quaternions. Chaos, Solitons and Fractals 106 (2018), 147–153.
There are 8 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Serpil Halıcı

Şule Çürük This is me

Publication Date October 15, 2019
Submission Date May 6, 2019
Acceptance Date July 15, 2019
Published in Issue Year 2019 Volume: 7 Issue: 2

Cite

APA Halıcı, S., & Çürük, Ş. (2019). On Some Matrix Representations of Bicomplex Numbers. Konuralp Journal of Mathematics, 7(2), 449-455.
AMA Halıcı S, Çürük Ş. On Some Matrix Representations of Bicomplex Numbers. Konuralp J. Math. October 2019;7(2):449-455.
Chicago Halıcı, Serpil, and Şule Çürük. “On Some Matrix Representations of Bicomplex Numbers”. Konuralp Journal of Mathematics 7, no. 2 (October 2019): 449-55.
EndNote Halıcı S, Çürük Ş (October 1, 2019) On Some Matrix Representations of Bicomplex Numbers. Konuralp Journal of Mathematics 7 2 449–455.
IEEE S. Halıcı and Ş. Çürük, “On Some Matrix Representations of Bicomplex Numbers”, Konuralp J. Math., vol. 7, no. 2, pp. 449–455, 2019.
ISNAD Halıcı, Serpil - Çürük, Şule. “On Some Matrix Representations of Bicomplex Numbers”. Konuralp Journal of Mathematics 7/2 (October 2019), 449-455.
JAMA Halıcı S, Çürük Ş. On Some Matrix Representations of Bicomplex Numbers. Konuralp J. Math. 2019;7:449–455.
MLA Halıcı, Serpil and Şule Çürük. “On Some Matrix Representations of Bicomplex Numbers”. Konuralp Journal of Mathematics, vol. 7, no. 2, 2019, pp. 449-55.
Vancouver Halıcı S, Çürük Ş. On Some Matrix Representations of Bicomplex Numbers. Konuralp J. Math. 2019;7(2):449-55.
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