Example 28.  The conformal mapping   .
It can be constructed via the Schwarz-Christoffel integral  .  
The image of the upper half-plane    is the three quadrants IV, I, II slit along the segment  .
Remark. This is Exercise 11 (Extra Example 4) in Section 11.9 and Exercise 4 in Section 11.10, and is illustrated in Figure 11.85 and Figure 11.91.
Hint: Set    and  , and the angles are .

Details 28.

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