Bicomplex Third-order Jacobsthal Quaternions
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arXiv
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866917747898712064 |
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| author | Cerda, Gamaliel |
| author_facet | Cerda, Gamaliel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1809_06979 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Bicomplex Third-order Jacobsthal Quaternions Cerda, Gamaliel Commutative Algebra 11B39, 20G20, 11R52 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. |
| title | Bicomplex Third-order Jacobsthal Quaternions |
| topic | Commutative Algebra 11B39, 20G20, 11R52 |
| url | https://arxiv.org/abs/1809.06979 |