On Complex Gaussian Jacobsthal and Jacobsthal-Lucas Quaternions

Arslan H.

Cumhuriyet Science Journal, cilt.41, sa.1, ss.1-10, 2020 (Hakemli Dergi)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.17776/csj.613058
  • Dergi Adı: Cumhuriyet Science Journal
  • Derginin Tarandığı İndeksler: Directory of Open Access Journals, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1-10
  • Erciyes Üniversitesi Adresli: Evet

Özet

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.