If f is holomorphic on a domain containing a closed disk D, then for any z inside D, f(z) = (1/2πi) ∮_{∂D} f(w)/(w−z) dw. Implies f has derivatives of all orders and is analytic.
If f is holomorphic on a domain containing a closed disk D, then for any z inside D, f(z) = (1/2πi) ∮_{∂D} f(w)/(w−z) dw. Implies f has derivatives of all orders and is analytic.