The derivative of an analytic function

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The discussion centers on finding a proof for the formula related to the derivative of an analytic function, specifically the expression involving the contour integral. Participants are seeking resources or references that provide a detailed proof of the formula. There is an emphasis on the significance of understanding this formula in the context of complex analysis. Suggestions for textbooks or online resources that cover this topic are welcomed. The conversation highlights the importance of foundational knowledge in analytic functions and their derivatives.
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Do you guys know a place where I can find a proof of the formula

\frac{d^{(n)}f(z)}{dz^{n}} = \frac{n!}{2\pi i}\oint \frac{f(z)dz}{(z- z_{0})^{n+1}}

Thanks
 
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zoki85 said:
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Thanks!
 

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