On Linear Transformations Preserving the Pólya Frequency Property

@inproceedings{Brndn2004OnLT,
  title={On Linear Transformations Preserving the P{\'o}lya Frequency Property},
  author={Petter Br{\"a}nd{\'e}n},
  year={2004}
}
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. 
Highly Cited
This paper has 57 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

Citations

Publications citing this paper.

58 Citations

051015'05'08'11'14'17
Citations per Year
Semantic Scholar estimates that this publication has 58 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 41 references

Unimodal, log-concave and Pólya frequency sequences in combinatorics

  • F. Brenti
  • Mem. Amer. Math. Soc.,
  • 1989
Highly Influential
6 Excerpts

Zwei sätze über algebraische gleichungen mit lauter reellen wurzeln

  • J. Schur
  • J. Reine Angew. Math.,
  • 1914
Highly Influential
4 Excerpts

Zelevinsky. Y-systems and generalized associahedra

  • A.V.S.V. Fomin
  • Ann. of Math.,
  • 2003
Highly Influential
4 Excerpts

Location of zeros of chromatic and related polynomials of graphs

  • F. Brenti, G. F. Royle, D. G. Wagner
  • Canad. J. Math.,
  • 1994
Highly Influential
7 Excerpts

Total positivity of Hadamard products

  • D. G. Wagner
  • J. Math. Anal. Appl.,
  • 1992
Highly Influential
8 Excerpts

Verteilung und Berechnung der Nullstellen reeller Polynome

  • N. Obreschkoff
  • VEB Deutscher Verlag der Wissenschaften, Berlin,
  • 1963
Highly Influential
4 Excerpts

Similar Papers

Loading similar papers…