Yağmur, Tülay2025-01-092025-01-0920242149-1402https:/dx.doi.org/10.53570/jnt.1525070https://hdl.handle.net/20.500.12451/12697In this paper, hyper-dual Leonardo quaternions are defined and studied. Some basic properties of the hyper-dual Leonardo quaternions, including their relationships with the hyper-dual Fibonacci quaternions and hyper-dual Lucas quaternions, are analyzed. In addition, some formulae and identities, such as the recurrence relations, Binet's formula, generating functions, Vajda's identity, certain sum formulae, and some binomial-sum formulae, are investigated for hyper-dual Leonardo quaternions.eninfo:eu-repo/semantics/openAccessDual NumbersHyper-dual NumbersQuaternionsFibonacci NumbersLeonardo NumbersArticle-48788910.53570/jnt.1525070