Anti-conformal mapping

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)