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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2020-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2020/3805462 |
| id |
doaj-ec83009079284a78b881bcc9ef90c623 |
|---|---|
| record_format |
Article |
| spelling |
doaj-ec83009079284a78b881bcc9ef90c6232020-12-21T11:41:31ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Eunmi Choi Jiin Jo |
| spellingShingle |
Eunmi Choi Jiin Jo Sequential Properties over Negative Pauli Pascal Table International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Eunmi Choi Jiin Jo |
| author_sort |
Eunmi Choi |
| title |
Sequential Properties over Negative Pauli Pascal Table |
| title_short |
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_sort |
sequential properties over negative pauli pascal table |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2020-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2020/3805462 |
| work_keys_str_mv |
AT eunmichoi sequentialpropertiesovernegativepaulipascaltable AT jiinjo sequentialpropertiesovernegativepaulipascaltable |
| _version_ |
1714988414046044160 |