ON SPLIT k- JACOBSTHAL AND k- JACOBSTHAL-LUCAS QUATERNIONS


Kilic N.

ARS COMBINATORIA, cilt.142, ss.129-139, 2019 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 142
  • Basım Tarihi: 2019
  • Dergi Adı: ARS COMBINATORIA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.129-139
  • Anahtar Kelimeler: Recurrence relations, Quaternions, Generating functions, FIBONACCI
  • İstanbul Üniversitesi-Cerrahpaşa Adresli: Evet

Özet

In this paper, we investigate the split k- Jacobsthal and k- Jacobsthal-Lucas quaternions, we give the Binet formulas, generating functions and exponential generating functions of these quaternions. Also, we obtain the Catalan, Cassini and d'Ocagne identities for the split k- Jacobsthal and k- Jacobsthal-Lucas quaternions.