Makale
Tam Makale
Uluslararası
2016
On the arrowhead-Fibonacci numbers
OPEN MATHEMATICS
Cilt 14 · ss. 1104–1113 · 30.12.2016
Özet
In this paper, we define the arrowhead-Fibonacci numbers by using the arrowhead matrix of the characteristic polynomial of the k-step Fibonacci sequence and then we give some of their properties. Also, we study the arrowhead-Fibonacci sequence modulo m and we obtain the cyclic groups from the generating matrix of the arrowhead-Fibonacci numbers when read modulo m : Then we derive the relationships between the orders of the cyclic groups obtained and the periods of the arrowhead-Fibonacci sequence modulo m.
Atıf için künye
Gültekin, İ., & Deveci, O. (2016). On the arrowhead-Fibonacci numbers. OPEN MATHEMATICS, 14, 1104–1113. https://doi.org/10.1515/math-2016-0100
BibTeX
@article{gultekin2016-73482,
author = {Gültekin, İnci and Deveci, Omur},
title = {On the arrowhead-Fibonacci numbers},
journal = {OPEN MATHEMATICS},
year = {2016},
volume = {14},
pages = {1104--1113},
issn = {2391-5455},
doi = {10.1515/math-2016-0100},
url = {https://akademik.atauni.edu.tr/yayinlar/73482-on-the-arrowhead-fibonacci-numbers}
}