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A note on Laguerre truncated polynomials and quadrature formula (2401.00752v2)
Published 1 Jan 2024 in math.NA and cs.NA
Abstract: In this contribution we deal with Gaussian quadrature rules based on orthogonal polynomials associated with a weight function $w(x)= x{\alpha} e{-x}$ supported on an interval $(0,z)$, $z>0.$ 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 $z.$