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Morera's Theorem

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Morera's Theorem In Complex Analysis :- Morera's Theorem Statement :        If f(z) is continuous in a simple connected domain D and if                     ∫f(z) dz = 0                    c    for every closed path in D, then f(z) is analytic in D .  Morera's Theorem Proof : Morera's Theorem      Let z₀ be a fixed point and z a variable point inside the domain D , then the value of the integral                    z                    ∫ f(z) dz                    z₀  is independent of the curve joining z₀ to z and is a function of the upper limit z . Then we have                   ...