The reverse ultra log-concavity of the Boros-Moll polynomials
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Publication:3648158
DOI10.1090/S0002-9939-09-09976-6zbMath1175.05019arXiv0809.0127OpenAlexW2050320836MaRDI QIDQ3648158
William Y. C. Chen, Cindy C. Y. Gu
Publication date: 24 November 2009
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.0127
log-concavityBoros-Moll sequencesBoros-Moll polynomialsreverse ultra log-concavityultra log-concavity
Combinatorial inequalities (05A20) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)
Related Items (14)
A short proof of Moll's minimal conjecture ⋮ Higher order Turán inequalities for Boros-Moll sequences ⋮ A simple proof of higher order Turán inequalities for Boros-Moll sequences ⋮ Properties arising from Laguerre-Pólya class for the Boros-Moll numbers ⋮ Partially 2-colored permutations and the Boros-Moll polynomials ⋮ Higher order log-concavity in Euler's difference table ⋮ The concavity and convexity of the Boros-Moll sequences ⋮ 2-Log-Concavity of the Boros–Moll Polynomials ⋮ Nested Log-Concavity ⋮ Skew log-concavity of the Boros-Moll sequences ⋮ THE LOG-BEHAVIOR OF THE CATALAN–LARCOMBE–FRENCH SEQUENCE ⋮ Log-Concavity of Combinations of Sequences and Applications to Genus Distributions ⋮ The greatest lower bound of a Boros-Moll sequence ⋮ A hypergeometric inequality
Cites Work
- Combinatorial proofs of inverse relations and log-concavity for Bessel numbers
- A sequence of unimodal polynomials
- Ultra logconcave sequences and negative dependence
- The ratio monotonicity of the Boros-Moll polynomials
- Unimodal, log-concave and Pólya frequency sequences in combinatorics
- A Computer Proof of Moll’s Log-Concavity Conjecture
- The double square root, Jacobi polynomials and Ramanujan's master theorem
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