Binomial Transforms of the Padovan and Perrin Matrix Sequences
We apply the binomial transforms to Padovan and Perrin matrix sequences. Also, the Binet formulas, summations, and generating functions of these transforms are found by recurrence relations. Finally, we illustrate the relations between these transforms by deriving new formulas.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/497418 |
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| _version_ | 1832555955037929472 |
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| author | Nazmiye Yilmaz Necati Taskara |
| author_facet | Nazmiye Yilmaz Necati Taskara |
| author_sort | Nazmiye Yilmaz |
| collection | DOAJ |
| description | We apply the binomial transforms to Padovan and Perrin
matrix sequences. Also, the Binet formulas, summations, and generating functions of these transforms are found by recurrence relations. Finally, we
illustrate the relations between these transforms by deriving new formulas. |
| format | Article |
| id | doaj-art-c60f04a15f8c4d0ebccd92ae41860a46 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c60f04a15f8c4d0ebccd92ae41860a462025-02-03T05:46:46ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/497418497418Binomial Transforms of the Padovan and Perrin Matrix SequencesNazmiye Yilmaz0Necati Taskara1Department of Mathematics, Faculty of Science, Selcuk University, Campus, 42075 Konya, TurkeyDepartment of Mathematics, Faculty of Science, Selcuk University, Campus, 42075 Konya, TurkeyWe apply the binomial transforms to Padovan and Perrin matrix sequences. Also, the Binet formulas, summations, and generating functions of these transforms are found by recurrence relations. Finally, we illustrate the relations between these transforms by deriving new formulas.http://dx.doi.org/10.1155/2013/497418 |
| spellingShingle | Nazmiye Yilmaz Necati Taskara Binomial Transforms of the Padovan and Perrin Matrix Sequences Abstract and Applied Analysis |
| title | Binomial Transforms of the Padovan and Perrin Matrix Sequences |
| title_full | Binomial Transforms of the Padovan and Perrin Matrix Sequences |
| title_fullStr | Binomial Transforms of the Padovan and Perrin Matrix Sequences |
| title_full_unstemmed | Binomial Transforms of the Padovan and Perrin Matrix Sequences |
| title_short | Binomial Transforms of the Padovan and Perrin Matrix Sequences |
| title_sort | binomial transforms of the padovan and perrin matrix sequences |
| url | http://dx.doi.org/10.1155/2013/497418 |
| work_keys_str_mv | AT nazmiyeyilmaz binomialtransformsofthepadovanandperrinmatrixsequences AT necatitaskara binomialtransformsofthepadovanandperrinmatrixsequences |