On the maximum of the weighted binomial sum \((1 + a)^{- r} \sum_{i = 0}^r \binom{m}{i} a^i\)

DOI10.1016/j.disc.2024.113925arXiv2305.16631OpenAlexW4391797079MaRDI QIDQ6204342

Seok Hyun Byun, Svetlana Poznanović

Publication date: 27 March 2024

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

Full work available at URL: https://arxiv.org/abs/2305.16631

zbMATH Keywords

binomial sumunimodal sequence

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial inequalities (05A20)

Cites Work

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• Inductive proofs of \(q\)-log concavity
• The q-log-concavity of q-binomial coefficients
• Unimodality, log-concavity, real-rootedness and beyond
• Unimodal, log-concave and Pólya frequency sequences in combinatorics

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