Article
| Title: | On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions (English) |
| Author: | Bród, Dorota |
| Author: | Szynal-Liana, Anetta |
| Author: | Włoch, Iwona |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 72 |
| Issue: | 4 |
| Year: | 2022 |
| Pages: | 1239-1248 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We study generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions. We present some properties of these quaternions and the relations between the generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions. (English) |
| Keyword: | Jacobsthal number |
| Keyword: | Jacobsthal-Lucas number |
| Keyword: | quaternion |
| Keyword: | generalized quaternion |
| Keyword: | Binet formula |
| MSC: | 11B37 |
| MSC: | 11B39 |
| idZBL: | Zbl 07655798 |
| idMR: | MR4517611 |
| DOI: | 10.21136/CMJ.2022.0174-22 |
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| Date available: | 2022-11-28T11:46:11Z |
| Last updated: | 2023-04-11 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151145 |
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| Reference: | [8] Szynal-Liana, A., Włoch, I.: The Pell quaternions and the Pell octonions.Adv. Appl. Clifford Algebr. 26 (2016), 435-440. Zbl 1344.11027, MR 3460009, 10.1007/s00006-015-0570-9 |
| Reference: | [9] Szynal-Liana, A., Włoch, I.: Generalized commutative quaternions of the Fibonacci type.Bol. Soc. Mat. Mex., III. Ser. 28 (2022), Article ID 1, 9 pages. Zbl 1479.11040, MR 4343010, 10.1007/s40590-021-00386-4 |
| Reference: | [10] Tasci, D.: On $k$-Jacobsthal and $k$-Jacobsthal-Lucas quaternions.J. Sci. Arts 3 (2017), 469-476. |
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