Dual-hyperbolic Pell quaternions

DOI10.1080/09720529.2020.1758367zbMath1501.11026OpenAlexW3039270331MaRDI QIDQ5043887

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Publication date: 6 October 2022

Published in: Journal of Discrete Mathematical Sciences and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720529.2020.1758367

zbMATH Keywords

dual numberPell numberdual-complex numberPell quaterniondual-hyperbolic number

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (1)

One-parameter generalization of dual-hyperbolic Pell numbers

Cites Work

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• On Pell quaternions and Pell-Lucas quaternions
• The Pell quaternions and the Pell octonions
• Hyperbolic calculus
• Investigation of dual-complex Fibonacci, dual-complex Lucas numbers and their properties
• Dual-complex \(k\)-Fibonacci numbers
• Split Pell and Pell-Lucas quaternions
• On dual \(k\)-Pell quaternions and octonions
• Bicomplex \(k\)-Pell quaternions
• Linear algebra and numerical algorithms using dual numbers
• The Golden Shofar
• Dual Pell Quaternions
• A Study on Dual Hyperbolic Fibonacci and Lucas Numbers

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