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Title: On the bicomplex generalized tribonacci quaternions
Authors: Kızılateş, C.
Catarino, Paula Maria Machado Cruz
Tuğlu, N.
Keywords: bicomplex number
generalized tribonacci sequence
bicomplex generalized tribonacci quaternion
Issue Date: 14-Jan-2019
Citation: Kızılateş, C.; Catarino, P.; Tuğlu, N. On the Bicomplex Generalized Tribonacci Quaternions. Mathematics 2019, 7, 80.
Series/Report no.: ;80
Abstract: In this paper, we introduce the bicomplex generalized tribonacci quaternions. Furthermore, Binet’s formula, generating functions, and the summation formula for this type of quaternion are given. Lastly, as an application, we present the determinant of a special matrix, and we show that the determinant is equal to the nth term of the bicomplex generalized tribonacci quaternions.
Peer Reviewed: yes
Document Type: Article
Appears in Collections:DMAT - Artigo publicado em Revista Científica Indexada

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