Application of Quadrature Rules for Cauchy-Type Integrals to the Generalized Poincare-Bertrand Formula

DOI10.2307/2007803zbMath0574.65011OpenAlexW4253679162MaRDI QIDQ3692691

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Publication date: 1985

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2007803

zbMATH Keywords

convergencePoincaré-Bertrand formulaHilbert transformsCauchy-type integralsGauss-Jacobi quadrature rule

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Numerical methods for integral equations (65R20) Numerical quadrature and cubature formulas (65D32) Integral equations with kernels of Cauchy type (45E05)

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Convergence of Gaussian formulas for the calculation of the derivatives of Cauchy principal value integrals

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