On Period of the Sequence of Fibonacci Polynomials Modulo
It is shown that the sequence obtained by reducing modulo coefficient and exponent of each Fibonacci polynomials term is periodic. Also if is prime, then sequences of Fibonacci polynomial are compared with Wall numbers of Fibonacci sequences according to modulo . It is found that order of cyclic g...
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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: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/731482 |
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| _version_ | 1832564434062540800 |
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| author | İnci Gültekin Yasemin Taşyurdu |
| author_facet | İnci Gültekin Yasemin Taşyurdu |
| author_sort | İnci Gültekin |
| collection | DOAJ |
| description | It is shown that the sequence obtained by reducing modulo coefficient and exponent of each Fibonacci polynomials term is periodic. Also if is prime, then sequences of Fibonacci polynomial are compared with Wall numbers of Fibonacci sequences according to modulo . It is found that order of cyclic group generated with matrix is equal to the period of these sequences. |
| format | Article |
| id | doaj-art-cf71435ba7e847439ce7de8e29064696 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-cf71435ba7e847439ce7de8e290646962025-02-03T01:11:10ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/731482731482On Period of the Sequence of Fibonacci Polynomials Moduloİnci Gültekin0Yasemin Taşyurdu1Department of Mathematics, Faculty of Science, Ataturk University, 25240 Erzurum, TurkeyDepartment of Mathematics, Faculty of Science and Letters, Erzincan University, 24000 Erzincan, TurkeyIt is shown that the sequence obtained by reducing modulo coefficient and exponent of each Fibonacci polynomials term is periodic. Also if is prime, then sequences of Fibonacci polynomial are compared with Wall numbers of Fibonacci sequences according to modulo . It is found that order of cyclic group generated with matrix is equal to the period of these sequences.http://dx.doi.org/10.1155/2013/731482 |
| spellingShingle | İnci Gültekin Yasemin Taşyurdu On Period of the Sequence of Fibonacci Polynomials Modulo Discrete Dynamics in Nature and Society |
| title | On Period of the Sequence of Fibonacci Polynomials Modulo |
| title_full | On Period of the Sequence of Fibonacci Polynomials Modulo |
| title_fullStr | On Period of the Sequence of Fibonacci Polynomials Modulo |
| title_full_unstemmed | On Period of the Sequence of Fibonacci Polynomials Modulo |
| title_short | On Period of the Sequence of Fibonacci Polynomials Modulo |
| title_sort | on period of the sequence of fibonacci polynomials modulo |
| url | http://dx.doi.org/10.1155/2013/731482 |
| work_keys_str_mv | AT incigultekin onperiodofthesequenceoffibonaccipolynomialsmodulo AT yasemintasyurdu onperiodofthesequenceoffibonaccipolynomialsmodulo |