On the Localization of Zeros and Poles of Chebyshev-Pade Approximants from Perturbed Functions

摘要

We present some numerical results about the localization of zeros and poles of Chebyshev-Pade approximants from functions perturbed with random series. These results are a natural generalization of the Froissart's numerical experiments with power series. Our results suggest that the Froissart doublets of Chebyshev-Pade approximants are located, with probability one, on the Joukowski transform image of the natural boundary of the random power series.