Fibonacci Elliptic Biquaternions

Tosun, Murat; Özen, Kahraman Esen

doi:10.33401/fujma.811058

Fibonacci Elliptic Biquaternions

Kahraman Esen Özen, (Girilmemişş)

Murat Tosun (Sakarya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Sakarya, Türkiye)

Fundamental journal of mathematics and applications (Online)

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Yıl: 2021 Cilt: 4 Sayı: 1 Sayfa Aralığı: 10 - 16 Metin Dili: İngilizce DOI: 10.33401/fujma.811058 İndeks Tarihi: 03-08-2021

Fibonacci Elliptic Biquaternions

Öz:

A. F. Horadam defined the complex Fibonacci numbers and Fibonacci quaternions in themiddle of the 20th century. Half a century later, S. Halıcı introduced the complex Fibonacciquaternions by inspiring from these definitions and discussed some properties of them.Recently, the elliptic biquaternions, which are generalized form of the complex and realquaternions, have been presented. In this study, we introduce the set of Fibonacci ellipticbiquaternions that includes the set of complex Fibonacci quaternions as a special case, andinvestigate some properties of Fibonacci elliptic biquaternions. Furthermore, we give theBinet formula and Cassini’s identity in terms of Fibonacci elliptic biquaternions. Finally,we give elliptic and real matrix representations of Fibonacci elliptic biquaternions.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Özen K, Tosun M (2021). Fibonacci Elliptic Biquaternions. , 10 - 16. 10.33401/fujma.811058
Chicago	Özen Kahraman Esen,Tosun Murat Fibonacci Elliptic Biquaternions. (2021): 10 - 16. 10.33401/fujma.811058
MLA	Özen Kahraman Esen,Tosun Murat Fibonacci Elliptic Biquaternions. , 2021, ss.10 - 16. 10.33401/fujma.811058
AMA	Özen K,Tosun M Fibonacci Elliptic Biquaternions. . 2021; 10 - 16. 10.33401/fujma.811058
Vancouver	Özen K,Tosun M Fibonacci Elliptic Biquaternions. . 2021; 10 - 16. 10.33401/fujma.811058
IEEE	Özen K,Tosun M "Fibonacci Elliptic Biquaternions." , ss.10 - 16, 2021. 10.33401/fujma.811058
ISNAD	Özen, Kahraman Esen - Tosun, Murat. "Fibonacci Elliptic Biquaternions". (2021), 10-16. https://doi.org/10.33401/fujma.811058

APA	Özen K, Tosun M (2021). Fibonacci Elliptic Biquaternions. Fundamental journal of mathematics and applications (Online), 4(1), 10 - 16. 10.33401/fujma.811058
Chicago	Özen Kahraman Esen,Tosun Murat Fibonacci Elliptic Biquaternions. Fundamental journal of mathematics and applications (Online) 4, no.1 (2021): 10 - 16. 10.33401/fujma.811058
MLA	Özen Kahraman Esen,Tosun Murat Fibonacci Elliptic Biquaternions. Fundamental journal of mathematics and applications (Online), vol.4, no.1, 2021, ss.10 - 16. 10.33401/fujma.811058
AMA	Özen K,Tosun M Fibonacci Elliptic Biquaternions. Fundamental journal of mathematics and applications (Online). 2021; 4(1): 10 - 16. 10.33401/fujma.811058
Vancouver	Özen K,Tosun M Fibonacci Elliptic Biquaternions. Fundamental journal of mathematics and applications (Online). 2021; 4(1): 10 - 16. 10.33401/fujma.811058
IEEE	Özen K,Tosun M "Fibonacci Elliptic Biquaternions." Fundamental journal of mathematics and applications (Online), 4, ss.10 - 16, 2021. 10.33401/fujma.811058
ISNAD	Özen, Kahraman Esen - Tosun, Murat. "Fibonacci Elliptic Biquaternions". Fundamental journal of mathematics and applications (Online) 4/1 (2021), 10-16. https://doi.org/10.33401/fujma.811058