On linear transformations preserving the Pólya Frequency property

Details On linear transformations preserving the Pólya Frequency property On linear transformations preserving the Pólya Frequency property

2004-03-22

arxiv.org/abs/math/0403364v2

Trans. Amer. Math. Soc. 358 (2006), no. 8, 3697--3716

Mathematics

Combinatorics

20 pages, to appear in Trans. Amer. Math. Soc

Scientific paper

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.

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