Cauchy integral formula for derivatives

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Statement

Suppose U is a domain in C and f:U→C is a holomorphic function. Suppose γ is the circle of radius r centered at a point z0∈U, such that γ lies completely inside U. Then, for any point z∈U, we have:

f(n)(z)=n!2πi∮γf(ξ)(ξ−z)n+1dξ