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... results served as a basis for reducing a wide range of boundary value problems for Laplace's equation and the Helmholtz equation and also problems in aerodynamics, electrotechnics and the theory of elasticity to boundary value singular or hypersingular integral equations. Some properties of these equations were studied. The methods of calculations and the numerical solution (the discrete vortices method type and interpolation type) in the class of both absolutely integrable and non–integrable function were given for singular integrals and singular integral equations. These results served as a basis ...