English

Dual complex Pell quaternions

Number Theory 2018-10-15 v1

Abstract

In this paper, dual complex Pell numbers and quaternions are defined. Also, some algebraic properties of dual-complex Pell numbers and quaternions which are connected with dual complex numbers and Pell numbers are investigated. Furthermore, the Honsberger identity, Binet's formula, Cassini's identity, Catalan's identity for these quaternions are given.

Keywords

Cite

@article{arxiv.1810.04786,
  title  = {Dual complex Pell quaternions},
  author = {Fügen Torunbalcı Aydın},
  journal= {arXiv preprint arXiv:1810.04786},
  year   = {2018}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1810.05002

R2 v1 2026-06-23T04:35:35.809Z