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- W2004161138 abstract "We introduce generalized triangles called s‐triangles for s given positive integer, as a bi‐indexed sequence of non negative numbers {as(n,k)}0≤k≤ns satisfying as(n,k) = 0 for k<0 or k>ns. A such s‐triangle is LC‐positive if for each r, the sequence of polynomials ∑k = rnsas(n,k)qk is q‐log‐concave. We extend some results of Wang and Yeh, Log‐concavity and LC‐positivity, J. Combin. Theory Ser. A (2007), and show that if as(n,k) is LC‐positive then the log‐concavity of the sequence {xn} implies the log‐concavity of the sequence {zn} defined by zn = ∑k = 0nsas(n,k)xk. Applications related to ordinary multinomials are given." @default.
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- W2004161138 date "2010-01-01" @default.
- W2004161138 modified "2023-10-17" @default.
- W2004161138 title "Preserving log-concavity and generalized triangles" @default.
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- W2004161138 doi "https://doi.org/10.1063/1.3478183" @default.
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