Abstract
First, we study the relation between the zeros of random polynomials Rn+1 and the zeros and poles of their Padé approximants [n/n]Rn+1. Next, we consider the distribution of zeros and poles of Padé approximants to the geometric series perturbed by a random polynomial noise. We observe numerically interesting connections between two above problems. Some numerical observations on the Froissart doublets have been also made.
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