# Anti-conformal mapping

From Encyclopedia of Mathematics

*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.

#### References

[1] | A.I. Markushevich, "Theory of functions of a complex variable" , 1 , Chelsea (1977) pp. Chapt. 2 (Translated from Russian) |

**How to Cite This Entry:**

Anti-conformal mapping.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Anti-conformal_mapping&oldid=32476

This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article