English

Generating matrix of the bi-periodic Lucas numbers

Number Theory 2019-04-19 v1

Abstract

In this paper, firstly, we introduce the Q_{l}-Generating matrix for the bi-periodic Lucas numbers. Then, by taking into account this matrix representation, we obtain some properties for the bi-periodic Fibonacci and Lucas numbers.

Keywords

Cite

@article{arxiv.1603.03241,
  title  = {Generating matrix of the bi-periodic Lucas numbers},
  author = {Arzu Coskun and Necati Taskara},
  journal= {arXiv preprint arXiv:1603.03241},
  year   = {2019}
}