Some interpolatory rules for the approximative evaluation of complex Cauchy principle value integrals

G.V. Milovanović, B.P. Acharya, T.N. Pattnaik

For the numerical approximation of complex Cauchy principal value integral \[ ıt_{z_0-h}^{z_0+h}\frac{f(z)}{z-\zeta} \] along directed line segment from $z_0-h$ to $z_0+h$, where $\zeta$ is an interior point on the path of integration, some interpolatory rules have been constructed. The asymptotic error estimates for the rules have been derived and the rules have been numerically tested.