Difference between revisions of "Anti-conformal mapping"
From Encyclopedia of Mathematics
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''conformal mapping of the second kind'' | ''conformal mapping of the second kind'' | ||
| − | A continuous mapping | + | 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|anti-holomorphic function]]. See also [[Conformal mapping|Conformal mapping]]. |
====References==== | ====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> | <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> | ||
Latest revision as of 15:14, 17 July 2014
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://encyclopediaofmath.org/index.php?title=Anti-conformal_mapping&oldid=12259
Anti-conformal mapping. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Anti-conformal_mapping&oldid=12259
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article