q-multinomials exhibit uniform d log-concavity in central distribution windows through Hermite approximations to normalized Jensen polynomials.
O’Hara,A constructive proof of the unimodality of the Gaussian coefficients, Journal of Combinatorial Theory, Series A53(1990), no
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Hermite-Jensen limits and $d$ log-concavity of $q$-multinomials
q-multinomials exhibit uniform d log-concavity in central distribution windows through Hermite approximations to normalized Jensen polynomials.