Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In complex analysis, a branch of mathematics, a complex-valued function f of a complex variable z, is said to be holomorphic at a point a if it is differentiable at every point within some open disk centered at a, and is said to be analytic at a if in some open disk centered at a it can be expanded as a convergent power series . One of the most important theorems of complex analysis is that holomorphic functions are analytic

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