Log-concavity of Whitney numbers of Dowling lattices

DOI10.1006/aama.1998.0621zbMath0918.05003OpenAlexW2028647104MaRDI QIDQ1291061

Moussa Benoumhani

Publication date: 10 August 1999

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/00501a70df6c50e82e33a53963e3241dce4d1f07

zbMATH Keywords

generating functionStirling numbers of the second kindgeometric latticeWhitney numberslog-concaveDowling lattice

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Semimodular lattices, geometric lattices (06C10)

Related Items (20)

Top-heavy phenomena for transformations ⋮ On a Stirling-Whitney-Riordan triangle ⋮ Recurrence relations for the linear transformation preserving the strong \(q\)-log-convexity ⋮ A unified approach to polynomial sequences with only real zeros ⋮ On some numbers related to Whitney numbers of Dowling lattices ⋮ Some polynomials related to Dowling lattices and \(\mathrm{x}\)-Stieltjes moment sequences ⋮ On Whitney numbers of Dowling lattices ⋮ A note on the \(r\)-Whitney numbers of Dowling lattices ⋮ A convolution for complete and elementary symmetric functions ⋮ A \(q\)-analogue of Rucinski-Voigt numbers ⋮ \(r\)-Whitney numbers of Dowling lattices ⋮ Some results on Whitney numbers of Dowling lattices ⋮ New combinatorial interpretations of \(r\)-Whitney and \(r\)-Whitney-Lah numbers ⋮ Greek letters in random staircase tableaux ⋮ The noncentral version of the Whitney numbers: a comprehensive study ⋮ Polynomials with real zeros and Pólya frequency sequences ⋮ Equivalent asymptotic formulas of second kindr-Whitney numbers ⋮ Zeros distribution of the reverse strong Turán expressions of polynomials sequences ⋮ New family of Whitney numbers ⋮ Asymptotic normality of coefficients of some polynomials related to Dowling lattices

Cites Work

• Logarithmic concavity for a class of geometric lattices
• Whitney numbers of some geometric lattices
• A class of geometric lattices based on finite groups
• Unimodal, log-concave and Pólya frequency sequences in combinatorics
• Stirling Behavior is Asymptotically Normal
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