Anti-conformal mapping

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conformal mapping of the second kind

A continuous mapping $w=f(z)$ of a neighbourhood of a point $z_0$ of the complex $z$-plane onto a neighbourhood of a point $w_0$ of the complex $w$-plane which preserves the angles between the curves passing through $z_0$ but changes the orientation. A function $f(z)$ which produces an anti-conformal mapping is an anti-holomorphic function. See also Conformal mapping.


[1] A.I. Markushevich, "Theory of functions of a complex variable" , 1 , Chelsea (1977) pp. Chapt. 2 (Translated from Russian)
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Anti-conformal mapping. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article