Generalized dual Leonardo quaternion numbers

Aydın F. T.

Journal of Algebra and Related Topics, vol.14, pp.37-48, 2026 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 14
  • Publication Date: 2026
  • Doi Number: 10.22124/jart.2025.28119.1698
  • Journal Name: Journal of Algebra and Related Topics
  • Journal Indexes: Scopus
  • Page Numbers: pp.37-48
  • Keywords: Dual quaternion, Fibonacci number, Generalized dual Leonardo quaternion, Generalized Leonardo number, Leonardo number
  • Yıldız Technical University Affiliated: Yes

Abstract

In this paper, we introduce dual k-Leonardo quaternions which we call generalized dual Leonardo quaternion numbers. Some algebraic properties of these quaternions such as recurrence relation, generating function, Binet’s formula, Cassini identity, sum formulas will also be obtained.