English

Horadam Octonions

Rings and Algebras 2016-12-01 v1

Abstract

In this paper, first we define Horadam octonions by Horadam sequence which is a generalization of second order recurrence relations. Also, we give some fundamental properties involving the elements of that sequence. Then, we obtain their Binet-like formula, ordinary generating function and Cassini identity.

Cite

@article{arxiv.1611.10143,
  title  = {Horadam Octonions},
  author = {Adnan Karataş and Serpil Halici},
  journal= {arXiv preprint arXiv:1611.10143},
  year   = {2016}
}

Comments

9 pages

R2 v1 2026-06-22T17:09:20.323Z