ON k-JACOBSTHAL AND k-JACOBSTHAL-LUCAS OCTONIONS

KILIÇ N.

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, vol.41, no.1, pp.1-17, 2019 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.17654/nt041010001
  • Journal Name: JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), zbMATH
  • Page Numbers: pp.1-17
  • Keywords: generating functions, k-Jacobsthal octonions, k-Jacobsthal-Lucas octonions, k-Jacobsthal numbers, k-Jacobsthal-Lucas numbers, FIBONACCI
  • Istanbul University-Cerrahpasa Affiliated: Yes

Abstract

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.