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The unimodality of a polynomial coming from a rational integral. Back to the original proof

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Publication:401055
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DOI10.1016/j.jmaa.2014.06.006zbMath1296.33009arXiv1304.7872OpenAlexW2962986438MaRDI QIDQ401055

Atul Dixit, Lin Jiu, Xiao Guan, Victor H. Moll, Tewodoros Amdeberhane

Publication date: 26 August 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7872


zbMATH Keywords

monotonicityhypergeometric functionunimodal polynomials


Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05)


Related Items (3)

Unnamed Item ⋮ The concavity and convexity of the Boros-Moll sequences ⋮ A hypergeometric inequality



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
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  • A hypergeometric inequality
  • A remarkable sequence of integers
  • An integral hidden in Gradshteyn and Ryzhik
  • A sequence of unimodal polynomials
  • Proof of Moll's minimum conjecture
  • The ratio monotonicity of the Boros-Moll polynomials
  • Iterated sequences and the geometry of zeros
  • A Computer Proof of Moll’s Log-Concavity Conjecture


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