A survey on the (hyper-) derivatives in complex, quaternionic and Clifford analysis
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Publication:653922
DOI10.1007/s00032-011-0169-0zbMath1242.30042OpenAlexW2050642245MaRDI QIDQ653922
Michael V. Shapiro, Maria Elena Luna-Elizarrarás
Publication date: 20 December 2011
Published in: Milan Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00032-011-0169-0
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Functions of hypercomplex variables and generalized variables (30G35) Monogenic and polygenic functions of one complex variable (30A05)
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Cites Work
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- Hyperkomplexe Differentiale
- On the Hyperderivatives of Dirac-hyperholomorphic Functions of Clifford Analysis
- Quaternionic analysis
- 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
- On the Hyperderivatives of Moisil–Théodoresco Hyperholomorphic Functions