The Laguerre polynomials preserve real-rootedness
History and Overview
2008-08-20 v1 Classical Analysis and ODEs
Abstract
The linear transformation that sends to the n'th Laguerre polynomial preserves real-rootedness.
Cite
@article{arxiv.0808.2635,
title = {The Laguerre polynomials preserve real-rootedness},
author = {Steve Fisk},
journal= {arXiv preprint arXiv:0808.2635},
year = {2008}
}
Comments
to appear, American Mathematical Monthly