An extension of Runge's theorem
Abstract: Every uniformly continuously differentiable function on the compact set in the complex plane is the uniform limit of rational functions with poles off .
- [B] Andrew Browder, Introduction to function algebras, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0246125
- [W] Hassler Whitney, Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc. 36 (1934), no. 1, 63–89. MR 1501735, https://doi.org/10.1090/S0002-9947-1934-1501735-3
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