Poincaré-Bertrand formula on a piecewise Liapunov curve in two-dimensional

DOI10.1016/j.amc.2008.03.026zbMath1153.26306OpenAlexW2091602265MaRDI QIDQ942412

Baruch Schneider, Ömer Kavaklıoğlu

Publication date: 5 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.03.026

zbMATH Keywords

singular integralsPoincaré formula

Mathematics Subject Classification ID

Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Related Items (9)

On the 2D quaternionic metaharmonic layer potentials ⋮ Poincaré-Bertrand and Hilbert formulas for the Cauchy-Cimmino singular integrals ⋮ Integral formulas of the Hilbert, Poincaré-Bertrand, Schwarz and Poisson type for the \(\beta\)-analytic function theory ⋮ Some properties of the Clifford Cauchy type integrals associated to Helmholtz equation on a piecewise Lyapunov surfaces in \(\mathbb R^m\) ⋮ Some notes on the Poincaré-Bertrand formula ⋮ On the Hilbert formulas and of change of integration order for some singular integrals in the unit circle ⋮ On Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation ⋮ Hilbert and Poincaré-Bertrand formulas in polyanalytic function theory involving higher order Lipschitz classes ⋮ 2D quaternionic time-harmonic Maxwell system in elliptic coordinates

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• On the hilbert operator for α-hyperholomorphic function theory in
• On the Laplacian vector fields theory in domains with rectifiable boundary
• Quaternionic analysis
• Operator algebras related to the Bochner–Martinelli integral
• Some properties of a Cauchy-type integral for the Moisil-Theodoresco system of partial differential equations

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