Monomial to ultraspherical basis transformation and the zeros of polynomials
Classical Analysis and ODEs
2014-06-27 v1
Abstract
We examine a result of A. Iserles and E. B. Saff, use it to prove a conjecture of S. Fisk that a linear operator which maps monomials to Legendre polynomials also preserves zeros in the open interval , and state a more general version of the conjecture for the Jacobi polynomials.
Keywords
Cite
@article{arxiv.1406.6880,
title = {Monomial to ultraspherical basis transformation and the zeros of polynomials},
author = {Matthew Chasse},
journal= {arXiv preprint arXiv:1406.6880},
year = {2014}
}
Comments
8 pages