Log-concavity and the exponential formula
\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.
scientific article; zbMATH DE number 1271725