On the Bicomplex Generalized Tribonacci Quaternions

Can Kızılateş, Paula Catarino and Naim Tuğlu
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Can Kızılateş: Department of Mathematics, Faculty of Art and Science, Zonguldak Bülent Ecevit University, 67100 Zonguldak, Turkey
Paula Catarino: Department of Mathematics, University of Trás-os-Montes e Alto Douro, Quinta de Prados, 5001-801 Vila Real, Portugal
Naim Tuğlu: Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar, 06500 Ankara, Turkey

Mathematics, 2019, vol. 7, issue 1, 1-8

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 n th term of the bicomplex generalized tribonacci quaternions.

Keywords: bicomplex number; generalized tribonacci sequence; bicomplex generalized tribonacci quaternion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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