ON k-JACOBSTHAL AND k-JACOBSTHAL-LUCAS OCTONIONS

KILIÇ N.

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, cilt.41, sa.1, ss.1-17, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.17654/nt041010001
  • Dergi Adı: JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), zbMATH
  • Sayfa Sayıları: ss.1-17
  • Anahtar Kelimeler: generating functions, k-Jacobsthal octonions, k-Jacobsthal-Lucas octonions, k-Jacobsthal numbers, k-Jacobsthal-Lucas numbers, FIBONACCI
  • İstanbul Üniversitesi-Cerrahpaşa Adresli: Evet

Özet

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