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On Some Matrix Representations of Bicomplex Numbers

Yıl 2019, Cilt: 7 Sayı: 2, 449 - 455, 15.10.2019

Öz

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.

Destekleyen Kurum

Pamukkale Üni.

Kaynakça

  • [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.
Yıl 2019, Cilt: 7 Sayı: 2, 449 - 455, 15.10.2019

Öz

Kaynakça

  • [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.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Serpil Halıcı

Şule Çürük Bu kişi benim

Yayımlanma Tarihi 15 Ekim 2019
Gönderilme Tarihi 6 Mayıs 2019
Kabul Tarihi 15 Temmuz 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 7 Sayı: 2

Kaynak Göster

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. Ekim 2019;7(2):449-455.
Chicago Halıcı, Serpil, ve Şule Çürük. “On Some Matrix Representations of Bicomplex Numbers”. Konuralp Journal of Mathematics 7, sy. 2 (Ekim 2019): 449-55.
EndNote Halıcı S, Çürük Ş (01 Ekim 2019) On Some Matrix Representations of Bicomplex Numbers. Konuralp Journal of Mathematics 7 2 449–455.
IEEE S. Halıcı ve Ş. Çürük, “On Some Matrix Representations of Bicomplex Numbers”, Konuralp J. Math., c. 7, sy. 2, ss. 449–455, 2019.
ISNAD Halıcı, Serpil - Çürük, Şule. “On Some Matrix Representations of Bicomplex Numbers”. Konuralp Journal of Mathematics 7/2 (Ekim 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 ve Şule Çürük. “On Some Matrix Representations of Bicomplex Numbers”. Konuralp Journal of Mathematics, c. 7, sy. 2, 2019, ss. 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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