Generalized commutative Jacobsthal quaternions and some matrices
In this paper, some examples of matrix generators for generalized commutative Jacobsthal quaternions were given. The generating matrices are useful tools for the number sequences satisfying a recurrence relation. They can be used for an algebraic representation and for obtaining some identities.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-11-01
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| Series: | Examples and Counterexamples |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666657X23000046 |
| _version_ | 1797796331688820736 |
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| author | Dorota Bród Anetta Szynal-Liana |
| author_facet | Dorota Bród Anetta Szynal-Liana |
| author_sort | Dorota Bród |
| collection | DOAJ |
| description | In this paper, some examples of matrix generators for generalized commutative Jacobsthal quaternions were given. The generating matrices are useful tools for the number sequences satisfying a recurrence relation. They can be used for an algebraic representation and for obtaining some identities. |
| first_indexed | 2024-03-13T03:31:27Z |
| format | Article |
| id | doaj.art-8330acb96b9647d7afde4cc303202880 |
| institution | Directory Open Access Journal |
| issn | 2666-657X |
| language | English |
| last_indexed | 2024-03-13T03:31:27Z |
| publishDate | 2023-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Examples and Counterexamples |
| spelling | doaj.art-8330acb96b9647d7afde4cc3032028802023-06-24T05:19:35ZengElsevierExamples and Counterexamples2666-657X2023-11-013100102Generalized commutative Jacobsthal quaternions and some matricesDorota Bród0Anetta Szynal-Liana1Rzeszow University of Technology, Faculty of Mathematics and Applied Physics, al. Powstańców Warszawy 12, 35-959 Rzeszów, PolandCorresponding author.; Rzeszow University of Technology, Faculty of Mathematics and Applied Physics, al. Powstańców Warszawy 12, 35-959 Rzeszów, PolandIn this paper, some examples of matrix generators for generalized commutative Jacobsthal quaternions were given. The generating matrices are useful tools for the number sequences satisfying a recurrence relation. They can be used for an algebraic representation and for obtaining some identities.http://www.sciencedirect.com/science/article/pii/S2666657X23000046Jacobsthal numbersGeneralized commutative quaternionsTridiagonal matrix |
| spellingShingle | Dorota Bród Anetta Szynal-Liana Generalized commutative Jacobsthal quaternions and some matrices Examples and Counterexamples Jacobsthal numbers Generalized commutative quaternions Tridiagonal matrix |
| title | Generalized commutative Jacobsthal quaternions and some matrices |
| title_full | Generalized commutative Jacobsthal quaternions and some matrices |
| title_fullStr | Generalized commutative Jacobsthal quaternions and some matrices |
| title_full_unstemmed | Generalized commutative Jacobsthal quaternions and some matrices |
| title_short | Generalized commutative Jacobsthal quaternions and some matrices |
| title_sort | generalized commutative jacobsthal quaternions and some matrices |
| topic | Jacobsthal numbers Generalized commutative quaternions Tridiagonal matrix |
| url | http://www.sciencedirect.com/science/article/pii/S2666657X23000046 |
| work_keys_str_mv | AT dorotabrod generalizedcommutativejacobsthalquaternionsandsomematrices AT anettaszynalliana generalizedcommutativejacobsthalquaternionsandsomematrices |