%0 Journal Article %T The Stability of the Gauss-Laguerre Rule for Cauchy P.V. Integrals on the Half Line %A Maria Rosaria Capobianco %A Giuliana Criscuolo %J American Journal of Computational Mathematics %P 505-511 %@ 2161-1211 %D 2023 %I Scientific Research Publishing %R 10.4236/ajcm.2023.134027 %X In this paper, the authors give a different and more precise analysis of the stability of the classical Gauss-Laguerre quadrature rule for the Cauchy P.V. integrals on the half line. Moreover, in order to obtain this result they give some new estimates for the distance of the zeros of the Laguerre polynomials that can be useful also in other contests. %K Gauss Quadrature %K Exponential Weights %K Cauchy P.V. Integrals %K Stability %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=128378