Example 34.  The conformal mapping   .  
It can be constructed via the Schwarz-Christoffel integral  ,  
also  .  
The image of the upper half-plane    is the portion of the upper half plane that lies outside the quadrant .
Remark. This is Exercise 8 in Section 11.9 and Exercise 7 (Extra Example 1) in Section 11.11, and is illustrated in Figure 11.82 and Figure Figure 11.105.
Hint: Set   and , and the angles are  .

Details 34.

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