University of Guilan Journal of Algebra and Related Topics 2345-3931 14 Special Issue- Dedicated to the memory of Jürgen Herzog (1941-2024). 2026 04 01 Generalized dual Leonardo quaternion numbers 37 48 8847 10.22124/jart.2025.28119.1698 EN F. Torunbalci Aydin Yildiz Technical University, Davutpasa Campus, Faculty of Chemical and Metallurgical Engineering, Department of Mathematical Engineering Journal Article 2024 08 07 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, generating function, Cassini identity, sum formulas will also be obtained. Fibonacci number Leonardo number generalized Leonardo number dual quaternion generalized dual Leonardo quaternion https://jart.guilan.ac.ir/article_8847_09a7553c64538ad5662b8a052e8d91b9.pdf