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# 2: Analytic Functions

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The main goal of this topic is to define and give some of the important properties of complex analytic functions. A function $$f(z)$$ is analytic if it has a complex derivative $$f'(z)$$. In general, the rules for computing derivatives will be familiar to you from single variable calculus. However, a much richer set of conclusions can be drawn about a complex analytic function than is generally true about real differentiable functions.

2: Analytic Functions is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Jeremy Orloff via source content that was edited to conform to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.

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