Suppose that f: C->C and that f is analytic at a point z0 element of C. Prove that there exists a real number r>0 such that, the nth derivative of z0=[n!/(2 pi r^n)]x[int(e^(-niy)f(z0+re^(iy)) from 0 to 2pi with respect to y for all n element of Natural numbers.© BrainMass Inc. brainmass.com March 4, 2021, 6:04 pm ad1c9bdddf
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An analyticity proof is provided. The solution is detailed and well presented.