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13 votes
1 answer
235 views

Is $(n!^{-d})_{n\geq 0}$ a Pólya frequency sequence?

Presumably this is a known result (if true) from complex analysis and/or total positivity, but I'm unable to find a reference. …
9 votes
1 answer
298 views

Nonnegative coefficients of a product of polynomials

Let $P(x_1,\dots,x_n)\in\mathbb{R}[x_1,\dots,x_n]$. Does there exist an algorithm to decide whether there is a nonzero polynomial $Q(x_1,\dots,x_n)\in\mathbb{R}[x_1,\dots,x_n]$ such that the product $ …