Morera's Theorem
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 ...