Refined ratio monotonicity of the coordinator polynomials of the root lattice of type \(B_n\)

DOI10.1515/math-2022-0555zbMath1520.05014MaRDI QIDQ6049690

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Publication date: 15 September 2023

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

zbMATH Keywords

log-concavityratio monotonicityspiral propertycoordinator polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial inequalities (05A20) Lattices and convex bodies (number-theoretic aspects) (11H06)

Cites Work

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• Log-concavity of independence polynomials of some kinds of trees
• Unimodality, log-concavity, real-rootedness and beyond
• The ratio monotonicity of the Boros-Moll polynomials
• Root Polytopes and Growth Series of Root Lattices
• Coordination sequences for root lattices and related graphs
• Symmetric Decompositions and Real-Rootedness
• Unimodal, log-concave and Pólya frequency sequences in combinatorics
• Log Concave Sequences of Symmetric Functions and Analogs of the Jacobi-Trudi Determinants
• Low–dimensional lattices. VII. Coordination sequences

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