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- W2950740562 abstract "We prove the reverse ultra log-concavity of the Boros-Moll polynomials. We further establish an inequality which implies the log-concavity of the sequence ${i!d_i(m)}$ for any $mgeq 2$, where $d_i(m)$ are the coefficients of the Boros-Moll polynomials $P_m(a)$. This inequality also leads to the fact that in the asymptotic sense, the Boros-Moll sequences are just on the borderline between ultra log-concavity and reverse ultra log-concavity. We propose two conjectures on the log-concavity and reverse ultra log-concavity of the sequence ${d_{i-1}(m) d_{i+1}(m)/d_i(m)^2}$ for $mgeq 2$." @default.
- W2950740562 created "2019-06-27" @default.
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- W2950740562 date "2008-08-31" @default.
- W2950740562 modified "2023-09-27" @default.
- W2950740562 title "The Reverse Ultra Log-Concavity of the Boros-Moll Polynomials" @default.
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