On linear transformations preserving the P\'olya Frequency property
Combinatorics
2012-04-18 v2 Classical Analysis and ODEs
Abstract
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.
Keywords
Cite
@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}
}
Comments
20 pages, to appear in Trans. Amer. Math. Soc