Holomorphic function/Definition: Difference between revisions

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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 [[derivative]] <math>f'(z) ~\forall~ z\in E</math>.
"Write the definition here (maximum one sentence of 100 characters, ignoring formatting characters). Don't include the term defined in the definition itself, and start the text with a capital letter.
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 [[defivative]] <math>f'(z) ~\forall~ z\in E</math>.

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https://en.citizendium.org/wiki/index.php?title=Holomorphic_function/Definition&printable=yes
A definition or brief description of Holomorphic function.

Function from to is called holomorphic in domain if for every open domain there exist derivative .

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