Singularities of functions of one and several bicomplex variables

DOI10.1007/s11512-010-0126-0zbMath1253.30060OpenAlexW2006791892MaRDI QIDQ691154

Fabrizio Colombo, Daniele C. Struppa, Irene Sabadini, Adrian Vajiac

Publication date: 29 November 2012

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-010-0126-0

zbMATH Keywords

singularitiesholomorphic functions of bicomplex variables

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

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Uses Software

• CoCoA

Cites Work

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• \(C^2\) extensions of analytic functions defined in the complex plane
• Regular functions of several quaternionic variables and the Cauchy-Fueter complex
• Analysis of Dirac systems and computational algebra.
• On a relation of bicomplex pseudoanalytic function theory to the complexified stationary Schrödinger equation
• NORMAL FAMILIES OF BICOMPLEX HOLOMORPHIC FUNCTIONS
• Complexified clifford analysis
• Quaternionic analysis
• A surjectivity theorem for differential operators on spaces of regular functions