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A complex function f is Lipschitz on an open subset U C(complex) if there is some constant K 0 so that |f(z) f(w)| K|z w| for all z,w U. Which

A complex function f is Lipschitz on an open subset U ⊆ C(complex) if there is some constant K ≥ 0 so that |f(z) − f(w)| ≤ K|z − w| for all z,w ∈ U. 

  • Which polynomials are Lipschitz on C(complex)? 
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