On Linear Transformations Preserving the Pólya Frequency Property

  title={On Linear Transformations Preserving the P{\'o}lya Frequency Property},
  author={Petter Br{\"a}nd{\'e}n},
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. 
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