English

A Note On Bicomplex Fibonacci and Lucas Numbers

Number Theory 2015-08-18 v1

Abstract

In this study, we define a new type of Fibonacci and Lucas num- bers which are called bicomplex Fibonacci and bicomplex Lucas numbers. We obtain the well-known properties e.g. Docagnes, Cassini, Catalan for these new types. We also give the identities of negabicomplex Fibonacci and negabi- complex Lucas numbers, Binet formulas and relations of them.

Keywords

Cite

@article{arxiv.1508.03972,
  title  = {A Note On Bicomplex Fibonacci and Lucas Numbers},
  author = {Semra Kaya Nurkan and İlkay Arslan Güven},
  journal= {arXiv preprint arXiv:1508.03972},
  year   = {2015}
}

Comments

10 pages

R2 v1 2026-06-22T10:35:05.634Z