On the Hyperderivatives of Dirac-hyperholomorphic Functions of Clifford Analysis

DOI10.1007/978-3-0348-0346-5_11zbMath1253.30071OpenAlexW1162837MaRDI QIDQ2902853

M. A. Macías-Cedeño, Michael V. Shapiro, Maria Elena Luna-Elizarrarás

Publication date: 22 August 2012

Published in: Recent Progress in Operator Theory and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0346-5_11

zbMATH Keywords

Dirac operatorClifford analysisCauchy-type integralshyperderivative

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (3)

A survey on the (hyper-) derivatives in complex, quaternionic and Clifford analysis ⋮ On the \(\phi \)-hyperderivative of the \(\psi \)-Cauchy-type integral in Clifford analysis ⋮ On the Hausdorff analyticity for quaternion-valued functions

Cites Work

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• A hypercomplex derivative of monogenic functsions in and its Applications
• Differentiation of the Martinelli‐Bochner Integrals and the Notion of Hyperderivability
• Quaternionic ψ-hyperholomorphic functions, singular integral operators and boundary value problems I. ψ-hyperholomorphic function theory
• Hyperderivatives in Clifford Analysis and Some Applications to the Cliffordian Cauchy-type Integrals

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