KnowraRunge's theoremLinked fromLinked fromThe 6 pages that link to Runge's theorem, each with the reason it gives.All 6Related 4Compared with 2Mittag-Leffler theoremRelated: Both results turn local or compact holomorphic data into globally controlled meromorphic functions.Stone–Weierstrass theoremCompared with: It yields approximation under geometric conditions rather than point separation in a function algebra.Gösta Mittag-LefflerRelated: It addresses global approximation questions closely related to constructing complex functions.Cousin problemsCompared with: It concerns approximation of holomorphic functions, not realization of prescribed poles or divisors.Mergelyan's theoremRelated: It supplies approximation methods that can be adapted to establish Mergelyan’s polynomial conclusion.Behnke–Stein theoremRelated: Runge approximation is a central one-variable tool in establishing global holomorphic flexibility.