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Log-concavity of Whitney numbers of Dowling lattices - MaRDI portal

Log-concavity of Whitney numbers of Dowling lattices (Q1291061)

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scientific article; zbMATH DE number 1295414
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Log-concavity of Whitney numbers of Dowling lattices
scientific article; zbMATH DE number 1295414

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    Log-concavity of Whitney numbers of Dowling lattices (English)
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    10 August 1999
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    This paper shows that the generating polynomial of Whitney numbers of the Dowling lattices has only real roots. This gives a new proof (through a result of Newton) that these Whitney numbers form strictly log-concave sequences.
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    Dowling lattice
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    geometric lattice
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    log-concave
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    generating function
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    Stirling numbers of the second kind
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    Whitney numbers
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