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arXiv · 1809.06979

Bicomplex Third-order Jacobsthal Quaternions

Gamaliel Cerda
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Abstract

The aim of this work is to consider the bicomplex third-order Jacobsthal quaternions and to present some properties involving this sequence, including the Binet-style formulae and the generating functions. Furthermore, Cassini's identity and d'Ocagne's identity for this type of bicomplex quaternions are given, and a different way to find the $n$-th term of this sequence is stated using the determinant of a four-diagonal matrix whose entries are bicomplex third-order quaternions.

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BibTeXRIS

Gamaliel Cerda. 2018-09-19. Bicomplex Third-order Jacobsthal Quaternions. https://doi.org/10.1080/17476933.2021.1975113

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