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In this paper, we propose a numerical method of computing Hadamardfinite-part integrals with an integral power singularity at the endpoint on ahalf infinite interval, that is, a finite value assigned to a divergentintegral with an integral power singularity at the endpoint on a half infiniteinterval. In the proposed method, we express a desired finite-part integralusing a complex integral, and we obtain the integral by evaluating the complexintegral by the DE formula. Theoretical error estimate and some numericalexamples show the effectiveness of the proposed method.

A numerical method of computing Hadamard finite-part integrals with an integral power singularity at the endpoint on a half infinite interval