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, 2021 (Journal Indexed in SCI Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2021
  • Doi Number: 10.1007/s13226-021-00202-9
  • Title of Journal : Indian Journal of Pure and Applied Mathematics
  • Keywords: Binet formula, Cassini identity, Catalan identity, Hyperbolic k- Jacobsthal quaternions, Hyperbolic k- Jacobsthal-Lucas quaternions

Abstract

© 2021, The Indian National Science Academy.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.