We prove that certain linear operators preserve the Pólya frequency property and real-rootedness, and apply our results to settle some conjectures and open problems in combinatorics proposed by Bóna, Brenti and Reiner-Welker.
CITATION STYLE
Brändén, P. (2006). On linear transformations preserving the Pólya frequency property. Transactions of the American Mathematical Society, 358(8), 3697–3716. https://doi.org/10.1090/s0002-9947-06-03856-6
Mendeley helps you to discover research relevant for your work.