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Makale Tam Makale Uluslararası 2022

THE HYPERBOLIC-TYPE k-FIBONACCI SEQUENCES AND THEIR APPLICATIONS

Sait Taş

THERMAL SCIENCE Cilt 26 · 01.01.2022
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Özet

In this study, we define hyperbolic-type k-Fibonacci numbers and then give the relationships between the k-step Fibonacci numbers and the hyperbolic-type k-Fibonacci numbers. In addition, we study the hyperbolic-type k-Fibonacci sequence modulo m and then we give periods of the Hperbolic-type k-Fibonacci sequences for any k and m which are related the periods of the k-step Fibonacci sequences modulo m. Furthermore, we extend the hyperbolic-type k-Fibonacci sequences to groups. Finally, we obtain the periods of the hyperbolic-type 2-Fibonacci sequences in the dihedral group D-2m, (m >= 2) with respect to the generating pairs (x, y) and (y, x).

Anahtar kelimeler

group matrix period hyperbolic number hyperbolic-type sequence LUCAS NUMBERS

Atıf için künye

Taş, S. (2022). THE HYPERBOLIC-TYPE k-FIBONACCI SEQUENCES AND THEIR APPLICATIONS. THERMAL SCIENCE, 26. https://doi.org/10.2298/tsci22s2551t

BibTeX 
@article{tas2022-57225,
  author = {Taş, Sait},
  title = {THE HYPERBOLIC-TYPE k-FIBONACCI SEQUENCES AND THEIR APPLICATIONS},
  journal = {THERMAL SCIENCE},
  year = {2022},
  volume = {26},
  issn = {0354-9836},
  doi = {10.2298/tsci22s2551t},
  url = {https://akademik.atauni.edu.tr/yayinlar/57225-the-hyperbolic-type-k-fibonacci-sequences-and-their-applications}
}