The Real-rootedness of Eulerian Polynomials via the Hermite--Biehler Theorem

zbMath1409.05224arXiv1501.05824MaRDI QIDQ2803315

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Publication date: 4 May 2016

Full work available at URL: https://arxiv.org/abs/1501.05824

zbMATH Keywords

Eulerian polynomialsHermite-Biehler theoremBorcea and Brändén's stability criterionweak Hurwitz stability

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Symmetric functions and generalizations (05E05)

Related Items (7)

Some results related to Hurwitz stability of combinatorial polynomials ⋮ Asymptotic normality in t-stack sortable permutations ⋮ Recurrences for Eulerian polynomials of type B and type D ⋮ The \(f\)- and \(h\)-vectors of interval subdivisions ⋮ Interlacing polynomials and the veronese construction for rational formal power series ⋮ Eulerian pairs and Eulerian recurrence systems ⋮ New proofs of interlacing of zeros of Eulerian polynomials

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