Difference between revisions of "Analytic function"

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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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[[Category:Calculus]]
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The older definition was that an analytic function is one that is [[differentiable]] everywhere.
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[[Category:Complex Analysis]]
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[[category:mathematics]]
 

Latest revision as of 01:02, August 14, 2018

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.