On Period of the Sequence of Fibonacci Polynomials Modulo m

Gültekin, İnci; TAŞYURDU, YASEMİN

doi:10.1155/2013/731482

Makale Tam Makale Uluslararası 2013

On Period of the Sequence of Fibonacci Polynomials Modulo m

İnci Gültekin, YASEMİN TAŞYURDU

DISCRETE DYNAMICS IN NATURE AND SOCIETY 01.01.2013

DOI ile aç

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.

Atıf için künye

Gültekin, İ., & TAŞYURDU, Y. (2013). On Period of the Sequence of Fibonacci Polynomials Modulo m. DISCRETE DYNAMICS IN NATURE AND SOCIETY. https://doi.org/10.1155/2013/731482

BibTeX

@article{gultekin2013-73483,
  author = {Gültekin, İnci and TAŞYURDU, YASEMİN},
  title = {On Period of the Sequence of Fibonacci Polynomials Modulo m},
  journal = {DISCRETE DYNAMICS IN NATURE AND SOCIETY},
  year = {2013},
  issn = {1026-0226},
  doi = {10.1155/2013/731482},
  url = {https://akademik.atauni.edu.tr/yayinlar/73483-on-period-of-the-sequence-of-fibonacci-polynomials-modulo-m}
}