On the Bicomplex kkk-Fibonacci Quaternions

Fügen TORUNBALCI AYDIN

doi:https://doi.org/10.33434/cams.542704

Makale detayları

On the Bicomplex kkk-Fibonacci Quaternions

Yazarlar:

Fügen TORUNBALCI AYDIN

Yayıncı:

Emrah Evren KARA

Ana Başlıklar:

Matematik

Dergi:

Communications in Advanced Mathematical Sciences 2019 Vol.2 Issue 3, pp.227-234

Belge Tipi:

Makale

Yayın Tarihi:

9/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000911707

Sıklık:

Üç Aylık

pISSN:

2651-4001

DOI:

https://doi.org/10.33434/cams.542704

Özet:

 


In this paper, bicomplex kkk-Fibonacci quaternions are defined. Also, some algebraic properties of bicomplex kkk-Fibonacci quaternions are investigated. For example, the summation formula, generating functions, Binet's formula, the Honsberger identity, the d'Ocagne's identity, Cassini's identity, Catalan's identity for these quaternions are given. In the last part, a different way to find n−thn−thn-th term of the bicomplex kkk-Fibonacci quaternion sequence was given using the determinant of a tridiagonal matrix.

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Makale detayları

On the Bicomplex kkk-Fibonacci Quaternions

Yazarlar: Fügen TORUNBALCI AYDIN

Yayıncı: Emrah Evren KARA

Ana Başlıklar: Matematik

Dergi: Communications in Advanced Mathematical Sciences 2019 Vol.2 Issue 3, pp.227-234

Belge Tipi: Makale

Yayın Tarihi: 9/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000911707

Sıklık: Üç Aylık

pISSN: 2651-4001

DOI: https://doi.org/10.33434/cams.542704

Sayı

Yazarlar:

Fügen TORUNBALCI AYDIN

Yayıncı:

Emrah Evren KARA

Ana Başlıklar:

Matematik

Dergi:

Communications in Advanced Mathematical Sciences 2019 Vol.2 Issue 3, pp.227-234

Belge Tipi:

Makale

Yayın Tarihi:

9/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000911707

Sıklık:

Üç Aylık

pISSN:

2651-4001

DOI:

https://doi.org/10.33434/cams.542704