A Unified Approach to Computing the Zeros of Classical Orthogonal Polynomials
Classical Analysis and ODEs
2021-09-21 v1
Abstract
The authors present a unified method for calculating the zeros of the classical orthogonal polynomials based upon the electrostatic interpretation and its connection to the energy minimization problem. Examples are given with error estimates for three cases of the Jacobi polynomials, three cases of the Laguerre polynomials, and the Hermite polynomials. In the case of the Chebyshev polynomials, exact errors are given.
Keywords
Cite
@article{arxiv.2109.09184,
title = {A Unified Approach to Computing the Zeros of Classical Orthogonal Polynomials},
author = {Ridha Moussa and James Tipton},
journal= {arXiv preprint arXiv:2109.09184},
year = {2021}
}