On bicomplex Pell and Pell-Lucas numbers
Number Theory
2017-12-29 v1
Abstract
In this paper, bicomplex Pell and bicomplex Pell-Lucas numbers are defined. Also, negabicomplex Pell and negabicomplex Pell-Lucas numbers are given. Some algebraic properties of bicomplex Pell and bicomplex Pell-Lucas numbers which are connected with bicomplex numbers and Pell and Pell-Lucas numbers are investigated. Furthermore, d'Ocagne's identity, Binet's formula, Cassini's identity and Catalan's identity for these numbers are given.
Keywords
Cite
@article{arxiv.1712.09595,
title = {On bicomplex Pell and Pell-Lucas numbers},
author = {Fugen Torunbalci Aydin},
journal= {arXiv preprint arXiv:1712.09595},
year = {2017}
}