View source for Anti-conformal mapping

''conformal mapping of the second kind''

A continuous mapping <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012590/a0125901.png" /> of a neighbourhood of a point <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012590/a0125902.png" /> of the complex <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012590/a0125903.png" />-plane onto a neighbourhood of a point <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012590/a0125904.png" /> of the complex <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012590/a0125905.png" />-plane which preserves the angles between the curves passing through <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012590/a0125906.png" /> but changes the orientation. A function <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012590/a0125907.png" /> which produces an anti-conformal mapping is an [[Anti-holomorphic function|anti-holomorphic function]]. See also [[Conformal mapping|Conformal mapping]].

====References====
<table><TR><TD valign="top">[1]</TD> <TD valign="top">  A.I. Markushevich,   "Theory of functions of a complex variable" , '''1''' , Chelsea  (1977)  pp. Chapt. 2  (Translated from Russian)</TD></TR></table>