On operators on polynomials preserving real-rootedness and the Neggers-Stanley Conjecture
Combinatorics
2012-04-18 v1 Classical Analysis and ODEs
Abstract
We refine a technique used in a paper by Schur on real-rooted polynomials. This amounts to an extension of a theorem of Wagner on Hadamard products of Toeplitz matrices. We also apply our results to polynomials for which the Neggers-Stanley Conjecture is known to hold. More precisely, we settle interlacing properties for -polynomials of series-parallel posets and column-strict labelled Ferrers posets.
Keywords
Cite
@article{arxiv.math/0303147,
title = {On operators on polynomials preserving real-rootedness and the Neggers-Stanley Conjecture},
author = {Petter Brändén},
journal= {arXiv preprint arXiv:math/0303147},
year = {2012}
}