Log-concavity and the exponential formula (Q1284158)
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scientific article; zbMATH DE number 1271725
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Log-concavity and the exponential formula |
scientific article; zbMATH DE number 1271725 |
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Log-concavity and the exponential formula (English)
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19 August 1999
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\textit{E. A. Bender} and \textit{E. R. Canfield} [J. Comb. Theory, Ser. A 74, No. 1, 57-70, Art. No. 0037 (1996; Zbl 0853.05013)] showed that passing a log-concave sequence through the exponential formula results in a log-concave sequence that is almost log-convex. The author generalizes this result to \(q\)-log-concavity, using in his proof also the theory of symmetric functions, and giving applications to \(q\)-binomial coefficients, and coloured and marked permutations.
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\(q\)-log-concavity
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log-concave sequence
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exponential formula
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symmetric functions
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