English

A note on Laguerre truncated polynomials and quadrature formula

Numerical Analysis 2024-01-05 v2 Numerical Analysis

Abstract

In this contribution we deal with Gaussian quadrature rules based on orthogonal polynomials associated with a weight function w(x)=xαexw(x)= x^{\alpha} 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.

Keywords

Cite

@article{arxiv.2401.00752,
  title  = {A note on Laguerre truncated polynomials and quadrature formula},
  author = {Juan C. García-Ardila and Francisco Marcellán},
  journal= {arXiv preprint arXiv:2401.00752},
  year   = {2024}
}