On Period of the Sequence of Fibonacci Polynomials Modulo m
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası:
- Basım Tarihi: 2013
- Doi Numarası: 10.1155/2013/731482
- Dergi Adı: DISCRETE DYNAMICS IN NATURE AND SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Erzincan Binali Yıldırım Üniversitesi Adresli: Evet
Özet
It is shown that the sequence obtained by reducing modulo.. 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 ((chi)(1) (1)(0)) is equal to the period of these sequences.