ON K-JACOBSTHAL AND K-JACOBSTHAL-LUCAS QUATERNIONS

TAŞCI D.

JOURNAL OF SCIENCE AND ARTS, sa.3, ss.469-476, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2017
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.469-476
  • Anahtar Kelimeler: k Jacobsthal, k - Jacobsthal-Lucas quaternions, FIBONACCI QUATERNIONS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we generalize Jacobsthal and Jacobsthal-Lucas quaternions to k-Jacobsthal and k-Jacobsthal-Lucas quaternions. We give Binet-like formulas, generating functions and matrix representation of k-Jacobsthal quaternions and kJacobsthal-Lucas quaternions.