Strong positivity results for polynomials of bounded degree.

Alan Walter. Kelm
Given a polynomial f possibly having negative coefficients, and a polynomial P having only positive coefficients, consider the problem of determining whether, $${\rm for\ some}\ n,\ {\rm the\ product}\ P\sp{n}f\ {\rm has\ no\ negative\ coefficients}.\eqno(*)$$ Generalizations of the positivity problem can be made in several ways. De Angelis (DA1) has dropped the condition that P be positive, requiring instead that $\vert P(re\sp{i\theta})\vert0$ and Another generalization involves permitting P to vary. That is, to replace $P\sp...
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