Holomorphic function/Definition: Difference between revisions
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imported>Dmitrii Kouznetsov (New page: <!-- <noinclude>{{Subpages}}</noinclude> "Write the definition here (maximum one sentence of 100 characters, ignoring formatting characters). Don't include the term defined in the definiti...) |
imported>Dmitrii Kouznetsov m (misprint) |
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Further details of how a definition should look like are given at [[CZ:Definitions#Format of the definition itself]]. (Delete this note, including the enclosing quotation marks, after reading.)" | Further details of how a definition should look like are given at [[CZ:Definitions#Format of the definition itself]]. (Delete this note, including the enclosing quotation marks, after reading.)" | ||
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function <math>f</math> from <math> A \subseteq \mathbb{C}</math> to <math>B\subseteq\mathbb{C}</math> is called '''holomorphic''' in domain <math>A</math> if for every [[open domain]] <math>E\subseteq A </math> there exist [[ | function <math>f</math> from <math> A \subseteq \mathbb{C}</math> to <math>B\subseteq\mathbb{C}</math> is called '''holomorphic''' in domain <math>A</math> if for every [[open domain]] <math>E\subseteq A </math> there exist [[derivative]] <math>f'(z) ~\forall~ z\in E</math>. | ||
Revision as of 07:44, 8 November 2008
function from to is called holomorphic in domain if for every open domain there exist derivative .
