On linear transformations preserving the P\'olya Frequency property
组合数学
2012-04-18 v2 经典分析与常微分方程
摘要
We prove that certain linear operators preserve the P\'olya frequency property and real-rootedness, and apply our results to settle some conjectures and open problems in combinatorics proposed by B\'ona, Brenti and Reiner-Welker.
关键词
引用
@article{arxiv.math/0403364,
title = {On linear transformations preserving the P\'olya Frequency property},
author = {Petter Brändén},
journal= {arXiv preprint arXiv:math/0403364},
year = {2012}
}
备注
20 pages, to appear in Trans. Amer. Math. Soc