Difference between revisions of "Analytic function"
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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''. | + | 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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| + | The older definition was that an analytic function is one that is [[differentiable]] everywhere. | ||
[[category:mathematics]] | [[category:mathematics]] | ||
Revision as of 02:15, July 7, 2007
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.
The older definition was that an analytic function is one that is differentiable everywhere.