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Unimodal Polynomial

A polynomial is called unimodal if the sequence of its coefficients is unimodal.

If P(x) is log-convex and Q(x) is unimodal, then P(x)Q(x) is unimodal.

See also

Unimodal Sequence

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References

Levit, V. E. and Mandrescu, E. "The Independence Polynomial of a Graph--A Survey." In Proceedings of the 1st International Conference on Algebraic Informatics. Held in Thessaloniki, October 20-23, 2005 (Ed. S. Bozapalidis, A. Kalampakas, and G. Rahonis). Thessaloniki, Greece: Aristotle Univ., pp. 233-254, 2005.

Referenced on Wolfram|Alpha

Unimodal Polynomial

Cite this as:

Weisstein, Eric W. "Unimodal Polynomial." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/UnimodalPolynomial.html

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