Filter integrals for orthogonal polynomials
Classical Analysis and ODEs
2020-12-16 v2
Abstract
Motivated by an expression by Persson and Strang on an integral involving Legendre polynomials, stating that the square of integrated over is always , we present analog results for Hermite, Chebyshev, Laguerre and Gegenbauer polynomials as well as the original Legendre polynomial with even index.
Keywords
Cite
@article{arxiv.2012.05040,
title = {Filter integrals for orthogonal polynomials},
author = {Tewodros Amdeberhan and Adriana Duncan and Victor H. Moll and Vaishavi Sharma},
journal= {arXiv preprint arXiv:2012.05040},
year = {2020}
}