Nonconformal Mapping
Let
be a path in
,
, and
and
be the tangents to the curves
and
at
and
. If there is an
such that
(1)
(2)
for all
(or, equivalently, if
has a zero of order
), then
(3)
(4)
so the
Argument
is
(5)
As
,
and
,
(6)
See also
Conformal Transformation
© 1996-9
Eric W. Weisstein
1999-05-25