Functional calculus for dual quaternions

DOI10.1007/S00006-023-01282-YzbMath1527.15021arXiv2202.04681OpenAlexW4377990033MaRDI QIDQ6105166

Stephen J. Montgomery-Smith

Publication date: 26 June 2023

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.04681

zbMATH Keywords

logarithmexponentialcomplex valid functionPauli-Pascal triangle

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Functional calculus in topological algebras (46H30) Quaternionic functional analysis (46S05)

Cites Work

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• Exponential and Cayley maps for dual quaternions
• The geometric structure of unit dual quaternion with application in kinematic control
• Hybrid kinematic control for rigid body pose stabilization using dual quaternions

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