Pell and Pell-Lucas hybrid quaternions

KÜRÜZ F., Dağdeviren A.

Filomat, cilt.37, sa.25, ss.8425-8434, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 25
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2325425k
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.8425-8434
  • Anahtar Kelimeler: Hybrid numbers, Hybrid quaternions, Pell numbers, Pell-Lucas numbers, Quaternions
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

In this paper, we investigate Pell and Pell-Lucas numbers what new properties we can obtain by working on a new number system-hybrid quaternions. Firstly, we present some new identities of Pell and Pell-Lucas numbers and quaternions. Then, with the help of these identities and previously known identities, we get new identities on Pell and Pell-Lucas hybrid quaternions, including Binet’s and Cassini’s identities.