Proof of a conjecture of Lundow and Rosengren on the bimodality of \(p,q\)-binomial coefficients

DOI10.1016/j.jmaa.2012.02.049zbMath1316.05004OpenAlexW1997007191WikidataQ122981881 ScholiaQ122981881MaRDI QIDQ412479

Xun-Tuan Su, Yi Wang

Publication date: 4 May 2012

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.2012.02.049

zbMATH Keywords

bimodalityunimodality\(p,q\)-binomial coefficients

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

On a generalised Lambert \(W\) branch transition function arising from \(p,q\)-binomial coefficients ⋮ Dually weighted Stirling-type sequences ⋮ Unimodality via Kronecker products ⋮ Preserving log-concavity for p,q-binomial coefficient ⋮ Proof of a monotonicity conjecture

Uses Software

• pqTelescope

Cites Work

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• On the q-log-concavity of Gaussian binomial coefficients
• Log-concavity and LC-positivity
• On unimodality problems in Pascal's triangle
• A generalization of Gosper's algorithm to bibasic hypergeometric summation
• Multibasic and mixed hypergeometric Gosper-type algorithms
• Unimodal, log-concave and Pólya frequency sequences in combinatorics
• Log Concave Sequences of Symmetric Functions and Analogs of the Jacobi-Trudi Determinants

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