Hyperderivatives in Clifford Analysis and Some Applications to the Cliffordian Cauchy-type Integrals

DOI10.1007/978-3-7643-9893-4_14zbMath1182.30087OpenAlexW307315565MaRDI QIDQ5192396

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

Publication date: 5 August 2009

Published in: Hypercomplex Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-9893-4_14

zbMATH Keywords

hyperderivative\(m\)-dimensional directional hyperderivativeCliffordian Cauchy-type integrals

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (4)

On the Hyperderivatives of Dirac-hyperholomorphic Functions of Clifford Analysis ⋮ 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

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• 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

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