Properties of hyperholomorphic functions and integrals for commutative-quaternionic valued functions

DOI10.22436/jnsa.011.04.03zbMath1438.32018OpenAlexW2791976173WikidataQ130124753 ScholiaQ130124753MaRDI QIDQ5225386

Ji Eun Kim

Publication date: 22 July 2019

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.011.04.03

zbMATH Keywords

Clifford analysishyperholomorphic functionCauchy-Riemann systemcommutative-quaternions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Quadratic spaces; Clifford algebras (11E88) Other partial differential equations of complex analysis in several variables (32W50) Holomorphic functions of several complex variables (32A99)

Related Items (2)

Calculation of vectorial derivatives for functions of a quaternion variable and their properties ⋮ Unnamed Item

Cites Work

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• Polar coordinate expression of hyperholomorphic functions on split quaternions in Clifford analysis
• Integrability of the twistor space for a hypercomplex manifold
• \(n\)-dimensional hyperbolic complex numbers
• Analytische Funktionen einer Quaternionenvariablen
• The regularity of functions on dual split quaternions in Clifford analysis
• Regularity of functions on the reduced quaternion field in Clifford analysis
• Quaternionic analysis
• Hypercomplex integrable systems

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