Let f (z) z n g(z), where n is a positive integer, g(z) is entire, and g(z) 0 for all z

Chapter 18, Problem 29

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Let \(f(z)=z^{n} g(z)\), where n is a positive integer, g(z) is entire, and \(g(z) \neq 0\) for all z. Let C be a circle with center at the origin. Evaluate \(\oint_{C} \frac{f^{\prime}(z)}{f(z)} d z\).

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