Example 37.  The conformal mapping  .  
It can be constructed via the Schwarz-Christoffel integral  ,  
also,  w = .
The image of the upper half-plane    is the portion of the upper half plane     that lies above the segment    and the ray  .  
Remark. This is Exercise 5 (Extra Example 5) in  Section 11.10, and is illustrated in Figure 11.92.
Hint:  Set  .  In the w-plane , and the exterior angles are  .

Details 37.

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