Computation of the roots of cauchy type principal value integrals

DOI10.1080/00207168408803427zbMath0561.65036OpenAlexW2125899286MaRDI QIDQ5186643

E. G. Anastasselou

Publication date: 1984

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168408803427

zbMATH Keywords

rootszerosanalytic functionsRiemann-Hilbert boundary value problemCauchy type integralsGaussian quadrature rulesLegendre functions of the second kindprincipal value integrals

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Numerical integration (65D30)

Cites Work

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• Polynomial transformations for singular integrals
• Exact Analytical Solutions of the Transcendental Equation $\alpha \sin \zeta = \zeta $
• Extension of numerical quadrature formulae to cater for end point singular behaviours over finite intervals

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