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On linear transformations preserving the Pólya frequency property

Petter Brändén

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Source: Crossref

Published: Feb 20, 2006

DOI: 10.1090/s0002-9947-06-03856-6

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Source abstract

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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On linear transformations preserving the Pólya frequency property — Mathematical Frontier Network