Sequential Properties over Negative Pauli Pascal Table
For polynomials x+yi and x+y−i satisfying the noncommutative multiplication yx=−xy, let C−1 and N−1 be the arithmetic tables, respectively. We investigate sequential properties of various diagonal sums over the tables C−1 and N−1 and prove that they are types of interlocked Fibonacci sequence and Pa...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2020/3805462 |
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| _version_ | 1832547190515433472 |
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| author | Eunmi Choi Jiin Jo |
| author_facet | Eunmi Choi Jiin Jo |
| author_sort | Eunmi Choi |
| collection | DOAJ |
| description | For polynomials x+yi and x+y−i satisfying the noncommutative multiplication yx=−xy, let C−1 and N−1 be the arithmetic tables, respectively. We investigate sequential properties of various diagonal sums over the tables C−1 and N−1 and prove that they are types of interlocked Fibonacci sequence and Padovan sequence. |
| format | Article |
| id | doaj-art-ec83009079284a78b881bcc9ef90c623 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ec83009079284a78b881bcc9ef90c6232025-02-03T06:45:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/38054623805462Sequential Properties over Negative Pauli Pascal TableEunmi Choi0Jiin Jo1Math Department, Hannam University, Daejon, Republic of KoreaMath Department, Hannam University, Daejon, Republic of KoreaFor polynomials x+yi and x+y−i satisfying the noncommutative multiplication yx=−xy, let C−1 and N−1 be the arithmetic tables, respectively. We investigate sequential properties of various diagonal sums over the tables C−1 and N−1 and prove that they are types of interlocked Fibonacci sequence and Padovan sequence.http://dx.doi.org/10.1155/2020/3805462 |
| spellingShingle | Eunmi Choi Jiin Jo Sequential Properties over Negative Pauli Pascal Table International Journal of Mathematics and Mathematical Sciences |
| title | Sequential Properties over Negative Pauli Pascal Table |
| title_full | Sequential Properties over Negative Pauli Pascal Table |
| title_fullStr | Sequential Properties over Negative Pauli Pascal Table |
| title_full_unstemmed | Sequential Properties over Negative Pauli Pascal Table |
| title_short | Sequential Properties over Negative Pauli Pascal Table |
| title_sort | sequential properties over negative pauli pascal table |
| url | http://dx.doi.org/10.1155/2020/3805462 |
| work_keys_str_mv | AT eunmichoi sequentialpropertiesovernegativepaulipascaltable AT jiinjo sequentialpropertiesovernegativepaulipascaltable |