On linear transformations preserving the Polya frequency property

By Petter Brand'en. 2004

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We prove that certain linear operators preserve the Polya frequency property and real-rootedness, and apply our results to settle some conjectures and open problems in combinatorics proposed by Bona, Brenti and Reiner-Welker.

Subfields: Algebra and Number Theory, Applied Mathematics, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/00d9017ead9a86e4722435f4ed1a4bfa746c7c61