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, vol.53, no.4, pp.956-967, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 4
  • Publication Date: 2022
  • Doi Number: 10.1007/s13226-021-00202-9
  • Journal Name: Indian Journal of Pure and Applied Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Page Numbers: pp.956-967
  • Keywords: Hyperbolic k-Jacobsthal quaternions, Hyperbolic k-Jacobsthal-Lucas quaternions, Binet formula, Cassini identity, Catalan identity
  • Marmara University Affiliated: No

Abstract

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.