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Input interpretation

logarithmically concave polynomial

Definition

A polynomial is called logarithmically concave (or log-concave) if the sequence of its coefficients is logarithmically concave.
If P(x) is log-convex and Q(x) is unimodal, then P(x) Q(x) is unimodal. However, the product of two log-convex polynomials is itself log-convex.

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Related term

logarithmically concave sequence

Subject classifications

MathWorld

sequences

MSC 2010

11Bxx

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