Let R be a simply connected region and let f : R → C be a holomorphic function. Fix a point z in R and define F: R→ C via F(z) = √( f(s) ds, where C(z) is any contour in R that starts at z* and ends at z. F(²0 + h) − F (20) = √2+1 ƒ (C) ds, (zo [zo,zo+h] √ 2020+ (F(S) — ƒ(20)) dz|

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