Hyper-Dual Leonardo Quaternions
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Date
2024
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Naim Çağman
Access Rights
info:eu-repo/semantics/openAccess
Abstract
In 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.
Description
Keywords
Dual Numbers, Hyper-dual Numbers, Quaternions, Fibonacci Numbers, Leonardo Numbers
Journal or Series
Journal of New Theory
WoS Q Value
Scopus Q Value
Volume
-
Issue
48
