Unimodality and the reflection principle

Details Unimodality and the reflection principle Unimodality and the reflection principle

1997-12-03

arxiv.org/abs/math/9712215v1

Ars Combin. 48 (1998), 65-72

Mathematics

Combinatorics

7 pages (plus cover and abstract)

Scientific paper

We show how lattice paths and the reflection principle can be used to give
easy proofs of unimodality results. In particular, we give a "one-line"
combinatorial proof of the unimodality of the binomial coefficients. Other
examples include products of binomial coefficients, polynomials related to the
Legendre polynomials, and a result connected to a conjecture of Simion.

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