ON CERTAIN POLYNOMIALS HAVING ALL THEIR ZEROS EXCEPT FOR 1 ON A CIRCLE OF RADIUS < 1

Abstract

Given α > 1, there exist C(1/α)−polynomials of the form zn − k=0 ak = 1, an−1 > 0 and ak ≥ 0 for each k. In this paper, we obtain lower bounds for an−1.

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