Generalizes Lavrentiev's and Mergelyan's theorems to uniform polynomial approximation that avoids any prescribed countable set of values on suitable compact sets in the complex plane.
Lavrent´ ev.Sur les functions d’une variable complexe repr´ esentables par de s´ eries de polynomes.Hermann & Cie
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Polynomial approximation avoiding values in countable sets
Generalizes Lavrentiev's and Mergelyan's theorems to uniform polynomial approximation that avoids any prescribed countable set of values on suitable compact sets in the complex plane.