WitrynaWe extend some results of Wang and Yeh, Log-concavity and LC-positivity, J. Combin. Theory Ser. A (2007), and show that if a s (n,k) is LC-positive then the log-concavity of the sequence {x n} implies the log-concavity of the sequence {z n} defined by z n = ∑k = 0nsa s (n,k)x k. Applications related to ordinary multinomials are given. Witryna20 paź 2024 · We extend some results of Wang and Yeh, Log-concavity and LC-positivity, J. Combin. Theory Ser. A (2007), and show that if a(s) (n,k) is LC-positive then the log-concavity of the sequence {x(n ...
Log-concavity and unimodality of compound polynomials
WitrynaA triangle $\{a(n,k)\}_{0\le k\le n}$ of nonnegative numbers is LC-positive if for each $r$, the sequence of polynomials $\sum_{k=r}^{n}a(n,k)q^k$ is... Witryna15 lip 2012 · Log-concave sequences of symmetric functions and analogs of the Jacobi–Trudi determinants. Trans. Amer. Math. Soc., 329 (1992), pp. 795-811. ... Log-concavity and LC-positivity. J. Combin. Theory Ser. A, 114 (2007), pp. 195-210. View PDF View article View in Scopus Google Scholar. ark wiki ark additions
Log-concavity and LC-positivity
WitrynaWe show that if {a(n, k)} is LC-positive then the log-concavity of the sequence {xk} implies that of the sequence {zn} defined by zn = ∑ n k=0 a(n, k)xk, and if {a(n, k)} is … WitrynaLog-concavity and LC-positivity by Yi Wang, Yeong-nan Yeh Venue: J. Combin. Theory Ser. A: Add To MetaCart. Tools. Sorted by: Results 1 - 10 of 17. Next 10 →. On the log-convexity of combinatorial sequences ... On the entropy and log-concavity of compound Poisson measures Witryna24 gru 2024 · LC is the acronym for log-concave, i.e., the condition xi−1xi+1 ≤x2 ifor sequences of nonnegative numbers (xk)k. LC-positivity is a property for the s … ark wiki angler gel