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- W4320737432 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 <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mrow> <m:mi>B</m:mi> </m:mrow> <m:mrow> <m:mi>n</m:mi> </m:mrow> </m:msub> </m:math> {B}_{n} possess log-concavity. In this paper, we show that the coordinator polynomials of type <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:msub> <m:mrow> <m:mi>B</m:mi> </m:mrow> <m:mrow> <m:mi>n</m:mi> </m:mrow> </m:msub> </m:math> {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." @default.
- W4320737432 created "2023-02-15" @default.
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- W4320737432 date "2023-01-01" @default.
- W4320737432 modified "2023-09-23" @default.
- W4320737432 title "Refined ratio monotonicity of the coordinator polynomials of the root lattice of type <i>B</i> <sub> <i>n</i> </sub>" @default.
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- W4320737432 doi "https://doi.org/10.1515/math-2022-0555" @default.
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