A note on Laguerre truncated polynomials and quadrature formula

preprint2024arXivOpen access

Abstract

In this contribution we deal with Gaussian quadrature rules based on orthogonal polynomials associated with a weight function w(x)=xαe−xw(x)= x^α e^{-x} supported on an interval (0,z)(0,z), z>0.z>0. The modified Chebyshev algorithm is used in order to test the accuracy in the computation of the coefficients of the three-term recurrence relation, the zeros and weights, as well as the dependence on the parameter z.z.

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