An Orthogonality Property of the Legendre Polynomials
Classical Analysis and ODEs
2015-05-26 v1
Abstract
We give a remarkable additional orthogonality property of the classical Legendre polynomials on the real interval : polynomials up to degree from this family are mutually orthogonal under the arcsine measure weighted by the degree- normalized Christoffel function.
Keywords
Cite
@article{arxiv.1505.06635,
title = {An Orthogonality Property of the Legendre Polynomials},
author = {Len Bos and Akil Narayan and Norm Levenberg and Federico Piazzon},
journal= {arXiv preprint arXiv:1505.06635},
year = {2015}
}
Comments
13 pages