Example 36.  The conformal mapping   .  
It can be constructed via the Schwarz-Christoffel integral  ,
also  .  
The image of the upper half-plane    is first quadrant slit along the ray  .
Remark. This is Exercise 15 in Section 11.9 and Exercise 10 (Extra Example 4) in Section 11.11, and is illustrated in Figure 11.86 and Figure 11.108.
Hint:  Hint: Set    and  . , and the angles are  .

Details 36.

Under Construction

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