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arXiv · 2401.00752

A note on Laguerre truncated polynomials and quadrature formula

Juan C. García-Ardila·Francisco Marcellán
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Abstract

In this contribution we deal with Gaussian quadrature rules based on orthogonal polynomials associated with a weight function $w(x)= x^α e^{-x}$ 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 $z.$

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Juan C. García-Ardila, Francisco Marcellán. 2024-01-03. A note on Laguerre truncated polynomials and quadrature formula. https://arxiv.org/abs/2401.00752

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