Runge theorem

A holomorphic function near a compact set can be uniformly approximated by rational functions with poles in prescribed complementary components; connected complement permits polynomials.

Table of contents 142 3
- Polynomial Runge theorem Runge theorem 118 2
  - Polynomial approximation of the reciprocal on a proper circular arc Polynomial Runge theorem 33
  - Pointwise approximation by a Runge exhaustion Polynomial Runge theorem 57

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