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Complex analysis 5. Let f and g be two analytic functions on a region D. Let w E D. Use Cauchy's integral formula for higher

Complex analysis

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5. Let f and g be two analytic functions on a region D. Let w E D. Use Cauchy's integral formula for higher derivative to establish Leibniz's rule n 71 n n (fg)( M) = I; (k) f(k)(W)9( Wm), (n = 1,2, - - -) for the nth derivative of the product of two differentiable functions f (z) and 9(2). Remark: If we apply the above formula to f (z) = 6'\" and g(z) = e\

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