Log-concavity and related properties of the cycle index polynomials

DOI10.1006/jcta.1996.0037zbMath0853.05013OpenAlexW2098005496MaRDI QIDQ1913997

Edward A. Bender, E. Rodney Canfield

Publication date: 9 July 1996

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3fff0f3b2a3ac806fcf7d4a5296785b45be24caa

zbMATH Keywords

inequalityformal power serieslog-concavitymarked permutationslog-concave sequencecycle index polynomial of the symmetric group

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial inequalities (05A20) Asymptotic enumeration (05A16)

Related Items (15)

WHITE NOISE ANALYSIS ON A NEW SPACE OF HIDA DISTRIBUTIONS ⋮ Engel's inequality for Bell numbers ⋮ ON THE ELL FAMILY OF DISTRIBUTIONS WITH ACTUARIAL APPLICATIONS ⋮ On some properties of the number of permutations being products of pairwise disjoint \(d\)-cycles ⋮ Log-convexity and strong \(q\)-\(\log\)-convexity for some triangular arrays ⋮ The expected characteristic and permanental polynomials of the random Gram matrix ⋮ Some inequalities and an application of exponential polynomials ⋮ Log-concavity of compound distributions with applications in stochastic optimization ⋮ On the log-convexity of combinatorial sequences ⋮ Logarithmic behavior of some combinatorial sequences ⋮ Seven (lattice) paths to log-convexity ⋮ Log-behavior of two sequences related to the elliptic integrals ⋮ Unnamed Item ⋮ Log-concavity and the exponential formula ⋮ Total Positivity from the Exponential Riordan Arrays

This page was built for publication: Log-concavity and related properties of the cycle index polynomials