Interlacing of zeroes of certain real-rooted polynomials

DOI10.1007/s00013-023-01837-2OpenAlexW4320733580MaRDI QIDQ2699115

Hiranya Kishore Dey

Publication date: 26 April 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-023-01837-2

zbMATH Keywords

interlacingEulerian polynomialsStirling permutationsreal-rootedness

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05) Other combinatorial number theory (11B75) Real polynomials: location of zeros (26C10) Special sequences and polynomials (11B83)

Cites Work

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• Stirling polynomials
• \(q\)-Eulerian polynomials arising from Coxeter groups
• On the real-rootedness of generalized Touchard polynomials
• New proofs of interlacing of zeros of Eulerian polynomials
• Pólya-Schur master theorems for circular domains and their boundaries
• Iterated claws have real-rooted genus polynomials
• Unimodality, log-concavity, real-rootedness and beyond
• Unimodal, log-concave and Pólya frequency sequences in combinatorics
• Real Zeros and Normal Distribution for Statistics on Stirling Permutations Defined by Gessel and Stanley
• Log-Concavity of Combinations of Sequences and Applications to Genus Distributions
• Eulerian Numbers
• The Coefficients in an Asymptotic Expansion

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