Matrix Representation of Bi-Periodic Pell Sequence
In this study, a generalization of the Pell sequence called bi-periodic Pell sequence is carried out to matrix theory. Therefore, we call this matrix sequence the bi-periodic Pell matrix sequence whose entries are bi-periodic Pell numbers. Then the generating function, Binet formula and some basic p...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2023-05-01
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| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_3649_56c14d56b8df8dd4fee32ac8a07631bc.pdf |
| _version_ | 1797799239596638208 |
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| author | Sukran UYGUN Ersen Akıncı |
| author_facet | Sukran UYGUN Ersen Akıncı |
| author_sort | Sukran UYGUN |
| collection | DOAJ |
| description | In this study, a generalization of the Pell sequence called bi-periodic Pell sequence is carried out to matrix theory. Therefore, we call this matrix sequence the bi-periodic Pell matrix sequence whose entries are bi-periodic Pell numbers. Then the generating function, Binet formula and some basic properties and sum formulas are examined. |
| first_indexed | 2024-03-13T04:16:59Z |
| format | Article |
| id | doaj.art-b95693a375684a478a3cb73421ae90fa |
| institution | Directory Open Access Journal |
| issn | 2251-7952 2645-4505 |
| language | English |
| last_indexed | 2024-03-13T04:16:59Z |
| publishDate | 2023-05-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj.art-b95693a375684a478a3cb73421ae90fa2023-06-21T03:19:53ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052023-05-0112256558310.22103/jmmr.2023.19887.12993649Matrix Representation of Bi-Periodic Pell SequenceSukran UYGUN0Ersen Akıncı1Department of Mathematics, Faculty of Science and Arts, Gaziantep University, Gaziantep, TurkiyeDepartment of Mathematics, Faculty of Science and Arts, Gaziantep University, Gaziantep, TurkiyeIn this study, a generalization of the Pell sequence called bi-periodic Pell sequence is carried out to matrix theory. Therefore, we call this matrix sequence the bi-periodic Pell matrix sequence whose entries are bi-periodic Pell numbers. Then the generating function, Binet formula and some basic properties and sum formulas are examined.https://jmmrc.uk.ac.ir/article_3649_56c14d56b8df8dd4fee32ac8a07631bc.pdfpell sequencegenerating functionbinet formula |
| spellingShingle | Sukran UYGUN Ersen Akıncı Matrix Representation of Bi-Periodic Pell Sequence Journal of Mahani Mathematical Research pell sequence generating function binet formula |
| title | Matrix Representation of Bi-Periodic Pell Sequence |
| title_full | Matrix Representation of Bi-Periodic Pell Sequence |
| title_fullStr | Matrix Representation of Bi-Periodic Pell Sequence |
| title_full_unstemmed | Matrix Representation of Bi-Periodic Pell Sequence |
| title_short | Matrix Representation of Bi-Periodic Pell Sequence |
| title_sort | matrix representation of bi periodic pell sequence |
| topic | pell sequence generating function binet formula |
| url | https://jmmrc.uk.ac.ir/article_3649_56c14d56b8df8dd4fee32ac8a07631bc.pdf |
| work_keys_str_mv | AT sukranuygun matrixrepresentationofbiperiodicpellsequence AT ersenakıncı matrixrepresentationofbiperiodicpellsequence |