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math.CO2010
2-Log-concavity of the Boros-Moll Polynomials
William Y. C. Chen, Ernest X. W. Xia
The Boros-Moll polynomials arise in the evaluation of a quartic integral. It has been conjectured by Boros and Moll that these polynomials are infinitely log-concave. In t…
math.CO2010
Interlacing Log-concavity of the Boros-Moll Polynomials
William Y. C. Chen, Larry X. W. Wang, Ernest X. W. Xia
We introduce the notion of interlacing log-concavity of a polynomial sequence , where is a polynomial of degree m with positive coefficients $a_{i}(m…