On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical

DOI10.2478/V10062-012-0022-0zbMath1284.30052OpenAlexW2075032044MaRDI QIDQ2442921

Yanyan Li

Publication date: 2 April 2014

Published in: Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/35dfba4bf84f907642d829da63fa44bbdd511ff8

zbMATH Keywords

Cauchy type integralthree-dimensional harmonic algebrarectifiable Jordan curve

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Boundary value problems in the complex plane (30E25)

Related Items (2)

Some properties of a Cauchy type integral in a three-dimensional commutative algebra with one-dimensional radical ⋮ Monogenic functions in commutative algebras associated with classical equations of mathematical physics

Cites Work

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• Finite-difference smoothness of Cauchy-type integrals
• The representation of harmonic mappings by monogenic functions
• Algebras of Functionally Invariant Solutions of the Three-Dimensional Laplace Equation
• Application of an Algebraic Technique to the Solution of Laplace’s Equation in Three Dimensions
• Riemann boundary problem with infinite index of logarithmic order on a spiral-form contour. I

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