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- W2044911987 abstract "With any multiset n we associate the numbers O(n, k) of compositions of n into exactly k parts. The polynomials kn(x) = Σk O(n, k)xk are shown to form a multiindexed Sturm sequence over (−1, 0). As consequences we obtain the unimodality of the sequence {O(n, k)}k for any n, of the generalized Eulerian numbers, and of the number of compositions of n with certain supplementary conditions imposed on the parts. The strong logarithmic concavity of the Stirling numbers of the second kind also follows as a corollary." @default.
- W2044911987 created "2016-06-24" @default.
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- W2044911987 date "1984-01-01" @default.
- W2044911987 modified "2023-09-27" @default.
- W2044911987 title "A multiindexed sturm sequence of polynomials and unimodality of certain combinatorial sequences" @default.
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- W2044911987 doi "https://doi.org/10.1016/0097-3165(84)90075-x" @default.
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