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On period of the sequence of fibonacci polynomials modulo m

ArticleAçık Erişim

Özet

It is shown that the sequence obtained by reducing modulo m coefficient and exponent of each Fibonacci polynomials term is periodic. Also if p is prime, then sequences of Fibonacci polynomial are compared with Wall numbers of Fibonacci sequences according to modulo p. It is found that order of cyclic group generated with Q 2 matrix (x 1 1 0) is equal to the period of these sequences. © 2013 İnci Gültekin and Yasemin Taşyurdu.

Anahtar Kelimeler

Mathematics, Interdisciplinary ApplicationsMultidisciplinary SciencesMathematicsScience & Technology - Other Topics
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/15915Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1155/2013/731482Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorGültekin, Inci
dc.contributor.authorTaşyurdu, Yasemin
dc.date.accessioned2026-10-18T20:30:45.810373089Z
dc.date.available2026-10-18T20:30:45.810373089Z
dc.date.issued2013
dc.description.abstractIt is shown that the sequence obtained by reducing modulo m coefficient and exponent of each Fibonacci polynomials term is periodic. Also if p is prime, then sequences of Fibonacci polynomial are compared with Wall numbers of Fibonacci sequences according to modulo p. It is found that order of cyclic group generated with Q 2 matrix (x 1 1 0) is equal to the period of these sequences. © 2013 İnci Gültekin and Yasemin Taşyurdu.
dc.identifier.doi10.1155/2013/731482
dc.identifier.eissn1607-887X
dc.identifier.issn1607-887X
dc.identifier.scopus2-s2.0-84876547707
dc.identifier.startpage731482
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/15915
dc.identifier.volume2013
dc.identifier.wosWOS:000316495100001
dc.language.isoen
dc.publisherHINDAWI LTD
dc.relation.ispartofDiscrete Dynamics in Nature and Society
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMathematics, Interdisciplinary Applications
dc.subjectMultidisciplinary Sciences
dc.subjectMathematics
dc.subjectScience & Technology - Other Topics
dc.titleOn period of the sequence of fibonacci polynomials modulo m
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus5
rdl.citation.wos12
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)