Skip to Main content Skip to Navigation
Conference papers

Les polynômes eul\IeC èriens stables de type B

Abstract : We give a multivariate analog of the type B Eulerian polynomial introduced by Brenti. We prove that this multivariate polynomial is stable generalizing Brenti's result that every root of the type B Eulerian polynomial is real. Our proof combines a refinement of the descent statistic for signed permutations with the notion of real stability—a generalization of real-rootedness to polynomials in multiple variables. The key is that our refined multivariate Eulerian polynomials satisfy a recurrence given by a stability-preserving linear operator.
Document type :
Conference papers
Complete list of metadatas

Cited literature [5 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01283169
Contributor : Coordination Episciences Iam <>
Submitted on : Saturday, March 5, 2016 - 12:09:38 AM
Last modification on : Wednesday, August 7, 2019 - 3:34:13 PM
Long-term archiving on: : Monday, June 6, 2016 - 11:35:21 AM

File

dmAR0127.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01283169, version 1

Collections

Citation

Mirkó Visontai, Nathan Williams. Les polynômes eul\IeC èriens stables de type B. 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), 2012, Nagoya, Japan. pp.297-306. ⟨hal-01283169⟩

Share

Metrics

Record views

90

Files downloads

498