Example 35.  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 region bounded by the rays and   .
Remark. This is Exercise 10 (Extra Example 3) in Section 11.9 and Exercise 8 (Extra Example 2) in Section 11.11, and is illustrated in Figure 11.84 and Figure 11.106.
Hint: Set   and ,  and the angles are  .
Use the change of variable    in the resulting integral.

Details 35.

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