New proofs of interlacing of zeros of Eulerian polynomials

DOI10.1016/j.jmaa.2022.126019OpenAlexW4207002276WikidataQ115188922 ScholiaQ115188922MaRDI QIDQ2075907

Chak-On Chow

Publication date: 16 February 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126019

zbMATH Keywords

permutationsEulerian polynomialsinterlacing propertyreal-rootedness

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05) Real polynomials: location of zeros (26C10)

Related Items (1)

Interlacing of zeroes of certain real-rooted polynomials

Cites Work

• On the Eulerian polynomials of type \(D\).
• Pólya-Schur master theorems for circular domains and their boundaries
• The Real-rootedness of Eulerian Polynomials via the Hermite--Biehler Theorem
• The 𝐬-Eulerian polynomials have only real roots

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