Log-concavity results for a biparametric and an elliptic extension of the q-binomial coefficients

DOI10.1142/S1793042120400187zbMath1465.05019arXiv2002.07796OpenAlexW3081192902MaRDI QIDQ4991706

Ali Kemal Uncu, Koushik Senapati, Michael J. Schlosser

Publication date: 3 June 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.07796

zbMATH Keywords

\(q\)-seriestheta functionselliptic functionsbinomial coefficientslog-concavityTurán's inequality

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial inequalities (05A20) Theta series; Weil representation; theta correspondences (11F27) Elliptic functions and integrals (33E05) Other analytical inequalities (26D20)

Related Items (2)

Elliptic generalisation of integrable q-deformed anisotropic Haldane–Shastry long-range spin chain ⋮ Elliptic and \(q\)-analogs of the fibonomial numbers

Cites Work

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• Basic hypergeometric summations from rook theory
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• A noncommutative weight-dependent generalization of the binomial theorem
• The q-log-concavity of q-binomial coefficients
• The Continuous Binomial Coefficient: An Elementary Approach

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