On Higher Order Lucas Hybrid Quaternions

Aydın F. T.

Konuralp Journal of Mathematics, cilt.12, sa.1, ss.46-54, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 1
  • Basım Tarihi: 2024
  • Dergi Adı: Konuralp Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.46-54
  • Anahtar Kelimeler: Binet formula, Exponential generating function, Fibonacci number, Generating function, Higher order Fibonacci number, Higher order Lucas number, Hybrid number, Lucas number
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this article, we introduced higher order Lucas hybrid quaternions with the help of higher order Lucas numbers. We also examined some algebraic properties of these quaternions. By obtaining the recurrence relation, we found the Binet formula, the generating function and the exponential generating function. Finally, we calculated the Vajda identity for the higher order Lucas hybrid quaternions and obtained the Catalan, Cassini and d’Ocagne identities with the help of this identity.