A local Cauchy integral formula for slice-regular functions

DOI10.1007/s40315-023-00485-5arXiv2105.07041OpenAlexW3162547158MaRDI QIDQ6120028

Alessandro Perotti

Publication date: 25 March 2024

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.07041

zbMATH Keywords

axially monogenic functionsCauchy integral formulaCauchy-Riemann operatorslice-regular functions

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Functions of hypercomplex variables and generalized variables (30G35) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Cites Work

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• Noncommutative Cauchy integral formula
• Slice regular functions on real alternative algebras
• The inverse Fueter mapping theorem
• A Cauchy kernel for slice regular functions
• Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
• Geometric function theory over quaternionic slice domains
• Eigenvalue problems for slice functions
• Almansi theorem and mean value formula for quaternionic slice-regular functions
• A new theory of regular functions of a quaternionic variable
• A new approach to Cullen-regular functions of a quaternionic variable
• An integral theorem for analytic intrinsic functions on quaternions
• On a class of orientation-preserving maps of \(\mathbb{R}^4\)
• Uniform generalizations of Fueter's theorem
• Harmonic Function Theory
• Volume Cauchy formulas for slice functions on real associative *-algebras
• Regular Functions of a Quaternionic Variable
• The algebra of slice functions
• Quaternionic analysis
• A New Approach to Slice Regularity on Real Algebras
• Global differential equations for slice regular functions

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