2-Log-Concavity of the Boros–Moll Polynomials

DOI10.1017/S0013091513000412zbMath1282.05019arXiv1010.0416OpenAlexW2963236270MaRDI QIDQ5397389

Ernest X. W. Xia, William Y. C. Chen

Publication date: 20 February 2014

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0416

zbMATH Keywords

Boros-Moll polynomialquartic integral2-log-concavity

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial inequalities (05A20) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (10)

Positivity of Iterated Sequences of Polynomials ⋮ Higher order Turán inequalities for Boros-Moll sequences ⋮ A simple proof of higher order Turán inequalities for Boros-Moll sequences ⋮ On the concavity properties of certain arithmetic sequences and polynomials ⋮ Properties arising from Laguerre-Pólya class for the Boros-Moll numbers ⋮ Unnamed Item ⋮ The concavity and convexity of the Boros-Moll sequences ⋮ The real-rootedness of generalized Narayana polynomials related to the Boros-Moll polynomials ⋮ Skew log-concavity of the Boros-Moll sequences ⋮ A hypergeometric inequality

Cites Work

• Interlacing log-concavity of the Boros-Moll polynomials
• Partially 2-colored permutations and the Boros-Moll polynomials
• Schur positivity and the \(q\)-log-convexity of the Narayana polynomials
• An algorithmic proof theory for hypergeometric (ordinary and ``\(q\)) multisum/integral identities
• The 2-adic valuation of a sequence arising from a rational integral
• A remarkable sequence of integers
• Infinite log-concavity: developments and conjectures
• A formula for a quartic integral: a survey of old proofs and some new ones
• An integral hidden in Gradshteyn and Ryzhik
• A sequence of unimodal polynomials
• Proof of Moll's minimum conjecture
• On the combinatorics of the Boros-Moll polynomials
• The ratio monotonicity of the Boros-Moll polynomials
• The reverse ultra log-concavity of the Boros-Moll polynomials
• A Computer Proof of Moll’s Log-Concavity Conjecture
• The double square root, Jacobi polynomials and Ramanujan's master theorem

This page was built for publication: 2-Log-Concavity of the Boros–Moll Polynomials