Difference between revisions of "Analytic function"

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(include older definition also)
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In mathematics, a function in [[complex analysis]] is ''analytic'' over the [[domain]] ''D'' if it is equal to its power series expansion in a neighborhood of every point in ''D''.
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In mathematics, a function is ''analytic'' over the [[domain]] ''D'' if it is equal to its power series expansion in a neighborhood of every point in ''D''.
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The older definition was that an analytic function is one that is [[differentiable]] everywhere.
 
 
[[category:mathematics]]
 
[[category:mathematics]]

Revision as of 06:34, July 7, 2007

In mathematics, a function is analytic over the domain D if it is equal to its power series expansion in a neighborhood of every point in D.

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