The Fibonacci Polynomials in Rings

TAŞYURDU Y., Deveci O.

ARS COMBINATORIA, cilt.133, ss.355-366, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 133
  • Basım Tarihi: 2017
  • Dergi Adı: ARS COMBINATORIA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.355-366
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

In this paper, we study the Fibonacci polynomials modulo m such that chi(2) = x + 1 and then we obtain miscellaneous properties of these sequences. Also, we extend the Fibonacci polynomials to the ring of complex numbers. We define the Fibonacci Polynomial-type orbits F-(a,b)(R)(x) = {x(i)} where R be a 2-generator ring and (a, b) is a generating pair of the ring R. Furthermore, we obtain the periods of the Fibonacci Polynomial-type orbits F(a,b)Rw(x) in finite 2-generator rings of order p(2).