Abstract
Abstract Ratio monotonicity, a property stronger than both log-concavity and the spiral property, describes the behavior of the coefficients of many classical polynomials. It is known that the coordinator polynomials of the root lattice of type B n {B}_{n} possess log-concavity. In this paper, we show that the coordinator polynomials of type B n {B}_{n} have a refined version of ratio monotonicity except for the first and the last terms. To our knowledge, this refined version is novel.
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