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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 $ …