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Possibility of Uniform Rational Approximation in the Spherical Metric

Possibility of Uniform Rational Approximation in the Spherical Metric

Let ƒ b e a mapping defined on a compact subset K of the finite complex plane C and taking its values on the extended plane C ⋃ ﹛ ∞﹜. For x a metric on the extended plane, we consider the possibility of approximating ƒ x-uniformly on K by rational …