Bi-periodic incomplete Lucas numbers
Number Theory
2016-01-19 v2
Abstract
In this paper, by presenting bi-periodic Lucas numbers as a binomial sum, we introduce the bi-periodic incomplete Lucas numbers. After that, by using the bi-periodic incomplete Lucas numbers, we derive the recurrence relation and the generating function of these numbers as well as investigated some properties over them. Additionally, as another main result of this paper, we give some relations between bi-periodic incomplete Lucas numbers and bi-periodic incomplete Fibonacci numbers.
Keywords
Cite
@article{arxiv.1601.02414,
title = {Bi-periodic incomplete Lucas numbers},
author = {Nazmiye Yilmaz and Yasin Yazlik and Necati Taskara},
journal= {arXiv preprint arXiv:1601.02414},
year = {2016}
}
Comments
This paper has been withdrawn by the author due to a crucial sign error in equation 1