q-Binomials and related symmetric unimodal polynomials

DOI10.1080/10236198.2019.1572125zbMath1437.11029arXiv1711.11252OpenAlexW2963580573MaRDI QIDQ4632375

Bryan Ek

Publication date: 29 April 2019

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.11252

zbMATH Keywords

partitionunimodaldynamical programmingrecursivecomputer-aidedoeis

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial aspects of partitions of integers (05A17) Difference equations, scaling ((q)-differences) (39A13)

Uses Software

• OEIS

Cites Work

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• Unimodality of Gaussian coefficients: A constructive proof
• Unimodality, log-concavity, real-rootedness and beyond
• Unimodal Polynomials Arising from Symmetric Functions
• The on-line encyclopedia of integer sequences
• Solution of Two Difficult Combinatorial Problems with Linear Algebra
• Kathy O'Hara's Constructive Proof of the Unimodality of the Gaussian Polynomials

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