Hyperbolic k -Jacobsthal and k -Jacobsthal-Lucas Quaternions

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Özkan E., Uysal M., Godase A.

Indian Journal of Pure and Applied Mathematics, cilt.53, sa.4, ss.956-967, 2022 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 4
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s13226-021-00202-9
  • Dergi Adı: Indian Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Sayfa Sayıları: ss.956-967
  • Anahtar Kelimeler: Hyperbolic k-Jacobsthal quaternions, Hyperbolic k-Jacobsthal-Lucas quaternions, Binet formula, Cassini identity, Catalan identity
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Marmara Üniversitesi Adresli: Hayır

Özet

In this paper, we introduce the hyperbolic k- Jacobsthal and k- Jacobsthal-Lucas quaternions. We present generating functions, Binet formula, Catalan’s identity, Vajda’s identity etc. for the hyperbolic k-Jacobsthal and k- Jacobsthal-Lucas quaternions.