A laurent expansion and residue theorems of k-regular functions in clifford analysis

DOI10.1007/s11859-009-0201-1zbMath1212.30148OpenAlexW2012729828MaRDI QIDQ3054696

Jinyuan Du, Min Ku

Publication date: 5 November 2010

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11859-009-0201-1

zbMATH Keywords

singularityClifford algebraLaurent expansion\(k\)-regular functionsresidue theorems

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Cites Work

• On \(k\)-regular functions with values in a universal Clifford algebra
• Iterated integral operators in Clifford analysis
• On Cauchy-Pompeiu formula for functions with values in a universal Clifford algebra.
• On a higher order Cauchy-Pompeiu formula for functions with values in a universal Clifford algebra
• On the singularities of functions with values in a Clifford algebra
• Hypercomplex Function Theory and Hilbert Modules with Reproducing Kernel
• A Cauchy's Integral Formula for Functions with Values in a Universal Clifford Algebra and its Applications
• Cauchy-Green Type Formulae in Clifford Analysis
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