Function complex-differentiable at a point

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This article defines a property that can be evaluated for a function on a (particular kind of) set, and a point in that set. A function satisfying the property at every point, it is termed a [[{{{1}}}]]
View other properties of functions at points

Definition

In one dimension

Let be a domain in and be a function. Let . We say that is complex-differentiable at if the complex differential of at is well-defined.

In several dimensions