Exploring the Hidden Symmetry of Quaternions: Dual Balancing and Cobalancing Numbers and Their Corresponding Quaternions
Year: 2024
Type: article
Abstract: This paper unveils the hidden symmetry of quaternions through the introduction of Dual Balancing and Dual Cobalancing numbers, along with their corresponding quaternions. We provide Binet's formulas, generating functions, and a multitude of intriguing properties to foster a comprehensive understanding of these concepts. Furthermore, we present matrix representations to offer a fresh perspective on the Dual Balancing and Dual Cobalancing quaternions. The implications of this study go beyond theoretical applications and may have practical implications in diverse fields.
Source: Contemporary Mathematics
Author: Süleyman Aydınyüz
Institution: Pamukkale University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4406000213