Morera's theorem
In complex analysis, Morera's theorem states that if the integral of a continuous complex-valued function f of a complex variable along every simple closed curve within an open set is zero, i.e. if
if C is any simple closed curve at all, then f is differentiable at every point in that open set.
Morera's theorem can be used to show the analyticity of functions defined by sums or integrals, such as the Riemann zeta function
or the Gamma function
Referenced By
List of complex analysis topics | List of mathematical topics (M-O)
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