Log-concavity and unimodality of compound polynomials

DOI10.1016/j.disc.2013.08.002zbMath1281.05020OpenAlexW1964020133MaRDI QIDQ393929

Bao-Xuan Zhu

Publication date: 24 January 2014

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2013.08.002

zbMATH Keywords

polynomialsunimodalitylog-concavitynon-increasing

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial inequalities (05A20) Real polynomials: location of zeros (26C10)

Cites Work

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• Ratio monotonicity of polynomials derived from nondecreasing sequences
• Log-concavity and LC-positivity
• On unimodality problems in Pascal's triangle
• A criterion for unimodality
• The excedance set of a permutation
• Polynomials with real zeros and Pólya frequency sequences
• Proof of a conjecture on unimodality
• Linear transformations preserving log-concavity
• Unimodal, log-concave and Pólya frequency sequences in combinatorics
• Nested Log-Concavity
• On the Location of the Maximum Stirling Number(s) of the Second Kind
• On linear transformations preserving the Pólya frequency property
• Stirling Behavior is Asymptotically Normal
• An extension of a criterion for unimodality

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