On Complex Gaussian Jacobsthal and Jacobsthal-Lucas Quaternions

Arslan H.

Cumhuriyet Science Journal, vol.41, no.1, pp.1-10, 2020 (Peer-Reviewed Journal)

  • Publication Type: Article / Article
  • Volume: 41 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.17776/csj.613058
  • Journal Name: Cumhuriyet Science Journal
  • Journal Indexes: Directory of Open Access Journals, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1-10
  • Erciyes University Affiliated: Yes

Abstract

The main aim of this work is to introduce the complex Gaussian Jacobsthal and JacobsthalLucas quaternions and investigate their structures. We obtain the recurrence relations, Binet formulas and generating functions for these quaternions. We also give their Cassini identities by using Binet formulas. Furthermore, we prove some results for these quaternions such as summation formulas.