Example 29. The
conformal mapping
.
It can be constructed via the Schwarz-Christoffel
integral
.
The image of the upper half-plane
is
the upper half-plane slit along the segment
from
.
Remark. This is Exercise 9 in
Section
11.9 and Exercise 3 (ExtraExample
3) in Section
11.10, and is illustrated in Figure 11.83
and Figure
11.90.
Hint: Set
. In
the w-plane
,
and the exterior angles are
.
![[Graphics:Images/ConformalMapDictionary.3.1_gr_102.gif]](../Images/ConformalMapDictionary.3.1_gr_102.gif)
![[Graphics:../Images/ConformalMapDictionary.3.1_gr_103.gif]](../Images/ConformalMapDictionary.3.1_gr_103.gif)
Details 29.
Under Construction
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