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Difference between revisions of "Anti-holomorphic function"

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''anti-analytic function''
 
''anti-analytic function''
  
A function <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012620/a0126201.png" /> of one or more complex variables <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012620/a0126202.png" /> that is the complex conjugate of a holomorphic function <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012620/a0126203.png" /> (cf. [[Analytic function|Analytic function]]).
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A function $f(z)=u+iv$ of one or more complex variables $z=(z_1,\ldots,z_n)$ that is the complex conjugate of a holomorphic function $f\overline{(z)}=u-iv$ (cf. [[Analytic function|Analytic function]]).

Revision as of 15:27, 17 July 2014

anti-analytic function

A function $f(z)=u+iv$ of one or more complex variables $z=(z_1,\ldots,z_n)$ that is the complex conjugate of a holomorphic function $f\overline{(z)}=u-iv$ (cf. Analytic function).

How to Cite This Entry:
Anti-holomorphic function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Anti-holomorphic_function&oldid=14660
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article