Abstract

The simple remark that Kutt's Gaussian quadrature rule for the computation of divergent integrals of the form ▪ (with λ ⩽ - 1), defined in the sense of finite-part integrals, coincides with the Gauss-Jacobi quadrature rule and the corresponding orthogonal polynomials with shifted Jacobi polynomials is made. This remark is based on the well-known orthogonality properties of Jacobi polynomials and no analysis is required. Yet, it seems that the Gauss-Jacobi quadrature rule for the above class (or more general classes) of finite-part integrals was used for the first time by Kutt.

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