Function complex-differentiable at a point: Difference between revisions

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(New page: ==Definition== ===In one dimension=== Let <math>U</math> be a domain in <math>\mathbb{C}</math> and <math>f:U \to \mathbb{C}</math> be a function. Let <math>z_0 \in U</math>. We say ...)
 
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{{at-point function property}}
==Definition==
==Definition==



Revision as of 21:04, 16 April 2008

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