On fourth-order jacobsthal quaternions
In this paper, we present for the first time a sequence of quaternions of order 4 that we will call the fourth-order Jacobsthal and the fourth-order Jacobsthal-Lucas quaternions. In particular, we are interested in the generating function, Binet formula, explicit formula and some interesting results...
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| Format: | Article |
| Language: | English |
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Mahmut Akyigit
2018-09-01
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| Series: | Journal of Mathematical Sciences and Modelling |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/546082 |
| _version_ | 1797350560953794560 |
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| author | Gamaliel Cerda-morales |
| author_facet | Gamaliel Cerda-morales |
| author_sort | Gamaliel Cerda-morales |
| collection | DOAJ |
| description | In this paper, we present for the first time a sequence of quaternions of order 4 that we will call the fourth-order Jacobsthal and the fourth-order Jacobsthal-Lucas quaternions. In particular, we are interested in the generating function, Binet formula, explicit formula and some interesting results for fourth-order Jacobsthal quaternions and fourth-order Jacobsthal-Lucas quaternions. This generalizes some previous results given by Szynal-Liana and Wloch in [13], Torunbalci Aydin and Yüce in [14] and Cerda-Morales in [2]. |
| first_indexed | 2024-03-08T12:46:43Z |
| format | Article |
| id | doaj.art-c2fe99937f60455e9df04e10af4ee93f |
| institution | Directory Open Access Journal |
| issn | 2636-8692 |
| language | English |
| last_indexed | 2024-03-08T12:46:43Z |
| publishDate | 2018-09-01 |
| publisher | Mahmut Akyigit |
| record_format | Article |
| series | Journal of Mathematical Sciences and Modelling |
| spelling | doaj.art-c2fe99937f60455e9df04e10af4ee93f2024-01-21T07:30:41ZengMahmut AkyigitJournal of Mathematical Sciences and Modelling2636-86922018-09-0112737910.33187/jmsm.4345431408On fourth-order jacobsthal quaternionsGamaliel Cerda-morales0Pontificia Universidad Católica de ValparaísoIn this paper, we present for the first time a sequence of quaternions of order 4 that we will call the fourth-order Jacobsthal and the fourth-order Jacobsthal-Lucas quaternions. In particular, we are interested in the generating function, Binet formula, explicit formula and some interesting results for fourth-order Jacobsthal quaternions and fourth-order Jacobsthal-Lucas quaternions. This generalizes some previous results given by Szynal-Liana and Wloch in [13], Torunbalci Aydin and Yüce in [14] and Cerda-Morales in [2].https://dergipark.org.tr/tr/download/article-file/546082fourth-order jacobsthal numberjacobsthal numberquaternionrecurrence relation |
| spellingShingle | Gamaliel Cerda-morales On fourth-order jacobsthal quaternions Journal of Mathematical Sciences and Modelling fourth-order jacobsthal number jacobsthal number quaternion recurrence relation |
| title | On fourth-order jacobsthal quaternions |
| title_full | On fourth-order jacobsthal quaternions |
| title_fullStr | On fourth-order jacobsthal quaternions |
| title_full_unstemmed | On fourth-order jacobsthal quaternions |
| title_short | On fourth-order jacobsthal quaternions |
| title_sort | on fourth order jacobsthal quaternions |
| topic | fourth-order jacobsthal number jacobsthal number quaternion recurrence relation |
| url | https://dergipark.org.tr/tr/download/article-file/546082 |
| work_keys_str_mv | AT gamalielcerdamorales onfourthorderjacobsthalquaternions |