On Jacobsthal and Jacobsthal-Lucas Octonions


ÇİMEN C. , Ipek A.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.14, sa.2, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Konu: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s00009-017-0873-2
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS

Özet

Various families of quaternion and octonion number sequences (such as Fibonacci quaternion, Fibonacci octonion, and so on) have been established by a number of authors in many different ways. In addition, formulas and identities involving these number sequences have been presented. In this paper, we aim at establishing new classes of octonion numbers associated with the familiar Jacobsthal and Jacobsthal-Lucas numbers. We introduce the Jacobsthal octonions and the Jacobsthal-Lucas octonions and give some of their properties. We derive the relations between Jacobsthal octonions and Jacobsthal-Lucas octonions.